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Advances in Differential Equations最新文献

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On a class of nonlocal Schrödinger equations with exponential growth 关于一类指数增长的非局部Schrödinger方程
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-09-01 DOI: 10.57262/ade027-0910-571
Giovanni Molica Bisci, Nguyen Van Thin, L. Vilasi
{"title":"On a class of nonlocal Schrödinger equations with exponential growth","authors":"Giovanni Molica Bisci, Nguyen Van Thin, L. Vilasi","doi":"10.57262/ade027-0910-571","DOIUrl":"https://doi.org/10.57262/ade027-0910-571","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46006033","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Nonlocal Hénon equation with nonlinearities involving Sobolev critical and supercritical growth 涉及Sobolev临界和超临界增长的非线性非局部hsamnon方程
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-07-01 DOI: 10.57262/ade027-0708-407
Eudes Barboza, O. Miyagaki, F. Pereira, Cláudia Santana
{"title":"Nonlocal Hénon equation with nonlinearities involving Sobolev critical and supercritical growth","authors":"Eudes Barboza, O. Miyagaki, F. Pereira, Cláudia Santana","doi":"10.57262/ade027-0708-407","DOIUrl":"https://doi.org/10.57262/ade027-0708-407","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45959664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Entire solutions of combustion reaction-diffusion equations in exterior domains 燃烧反应扩散方程的外域整体解
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-07-01 DOI: 10.57262/ade027-0708-437
Fu-Jie Jia, Zhi-Cheng Wang, Suobing Zhang
{"title":"Entire solutions of combustion reaction-diffusion equations in exterior domains","authors":"Fu-Jie Jia, Zhi-Cheng Wang, Suobing Zhang","doi":"10.57262/ade027-0708-437","DOIUrl":"https://doi.org/10.57262/ade027-0708-437","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47819277","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case Bopp-Podolsky-Schrödinger-Proca和Schrör dinger-Poisson-Proca系统在静电情况下的爆破解
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-05-01 DOI: 10.57262/ade027-0506-253
Emmanuel Hebey
{"title":"Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case","authors":"Emmanuel Hebey","doi":"10.57262/ade027-0506-253","DOIUrl":"https://doi.org/10.57262/ade027-0506-253","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44962982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On the fractional elliptic problems with difference in the Orlicz-Sobolev spaces Orlicz-Sobolev空间中带差分的分数阶椭圆问题
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-05-01 DOI: 10.57262/ade027-0506-385
Tacksun Jung, Q. Choi
{"title":"On the fractional elliptic problems with difference in the Orlicz-Sobolev spaces","authors":"Tacksun Jung, Q. Choi","doi":"10.57262/ade027-0506-385","DOIUrl":"https://doi.org/10.57262/ade027-0506-385","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48375416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On decay of the solutions for the dispersion generalized Benjamin--Ono and Benjamin--Ono equations 色散广义Benjamin—Ono和Benjamin—Ono方程解的衰减
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-04-05 DOI: 10.57262/ade027-1112-781
Alysson Cunha
{"title":"On decay of the solutions for the dispersion generalized Benjamin--Ono and Benjamin--Ono equations","authors":"Alysson Cunha","doi":"10.57262/ade027-1112-781","DOIUrl":"https://doi.org/10.57262/ade027-1112-781","url":null,"abstract":". We show that uniqueness results of the kind those obtained for KdV and Schr¨odinger equations ([7], [28]), are not valid for the dispersion generalized-Benjamin-Ono equation in the weighted Sobolev spaces for appropriated s and r . In particular, we obtain that the uniqueness result proved for the dispersion generalized- Benjamin-Ono equation ([13]), is not true for all pairs of solutions u 1 6 = 0 and u 2 6 = 0. To achieve these results we employ the techniques present in our recent work [6]. We also improve some Theorems established for the dispersion generalized-Benjamin-Ono equation and for the Benjamin-Ono equation ([13], [12]).","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47204418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The higher order nonlinear Schrödinger equation with quadratic nonlinearity on the real axis 在实轴上具有二次非线性的高阶非线性Schrödinger方程
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-03-28 DOI: 10.57262/ade028-0506-413
A. Faminskii
{"title":"The higher order nonlinear Schrödinger equation with quadratic nonlinearity on the real axis","authors":"A. Faminskii","doi":"10.57262/ade028-0506-413","DOIUrl":"https://doi.org/10.57262/ade028-0506-413","url":null,"abstract":"The initial value problem is considered for a higher order nonlinear Schr\"odinger equation with quadratic nonlinearity. Results on existence and uniqueness of weak solutions are obtained. In the case of an effective at infinity additional damping large-time decay of solutions without any smallness assumptions is also established. The main difficulty of the study is the non-smooth character of the nonlinearity.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46913976","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems 拟线性双曲型系统一般形式的多重黎曼波解
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-03-28 DOI: 10.57262/ade028-0102-73
A. Grundland, J. Lucas
{"title":"Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems","authors":"A. Grundland, J. Lucas","doi":"10.57262/ade028-0102-73","DOIUrl":"https://doi.org/10.57262/ade028-0102-73","url":null,"abstract":". The objective of this paper is to construct geometrically Riemann k -wave solutions of the general form of first-order quasilinear hyperbolic systems of partial differential equations. To this end, we adapt and combine elements of two approaches to the construction of Riemann k -waves, namely the symmetry reduction method and the generalized method of characteristics. We formulate a geometrical setting for the general form of the k -wave problem and discuss in detail the conditions for the existence of k -wave solutions. An auxiliary result concerning the Frobenius theorem is established. We use it to obtain formulae describing the k -wave solutions in closed form. Our theoretical considerations are illustrated by examples of hydrodynamic type systems including the Brownian motion equation.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44578514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The linearized 3d Euler equations with inflow, outflow 具有流入、流出的线性化三维Euler方程
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-03-27 DOI: 10.57262/ade028-0506-373
G. Gie, J. Kelliher, A. Mazzucato
{"title":"The linearized 3d Euler equations with inflow, outflow","authors":"G. Gie, J. Kelliher, A. Mazzucato","doi":"10.57262/ade028-0506-373","DOIUrl":"https://doi.org/10.57262/ade028-0506-373","url":null,"abstract":"In 1983, Antontsev, Kazhikhov, and Monakhov published a proof of the existence and uniqueness of solutions to the 3D Euler equations in which on certain inflow boundary components fluid is forced into the domain while on other outflow components fluid is drawn out of the domain. A key tool they used was the linearized Euler equations in vorticity form. We extend their result on the linearized problem to multiply connected domains and establish compatibility conditions on the initial data that allow higher regularity solutions.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44695304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
A Liouville type result and quantization effects on the system $-Delta u = u J'(1-|u|^{2})$ for a potential convex near zero 一个接近零的势凸的Liouville型结果和量化效应$-Delta u = u J'(1-|u|^{2})$
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-03-16 DOI: 10.57262/ade028-0708-613
U. Maio, R. Hadiji, C. Lefter, C. Perugia
{"title":"A Liouville type result and quantization effects on the system $-Delta u = u J'(1-|u|^{2})$ for a potential convex near zero","authors":"U. Maio, R. Hadiji, C. Lefter, C. Perugia","doi":"10.57262/ade028-0708-613","DOIUrl":"https://doi.org/10.57262/ade028-0708-613","url":null,"abstract":"We consider a Ginzburg-Landau type equation in $R^2$ of the form $-Delta u = u J'(1-|u|^{2})$ with a potential function $J$ satisfying weak conditions allowing for example a zero of infinite order in the origin. We extend in this context the results concerning quantization of finite potential solutions of H.Brezis, F.Merle, T.Rivi`ere from cite{BMR} who treat the case when $J$ behaves polinomially near 0, as well as a result of Th. Cazenave, found in the same reference, and concerning the form of finite energy solutions.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47099264","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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