具有一般非线性的含分数阶p-拉普拉斯标量场方程解的多重性

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2023-11-20 DOI:10.1080/17476933.2023.2280955

H. P. Bueno, O. H. Miyagaki, A. L. Vieira

引用次数: 0

摘要

证明了问题(−Δp)su=g(u)inRN,u∈Ws,p(RN)存在无穷多个径向对称解，其中s∈(0,1)，2≤p<∞，sp≤N, 2≤N∈N，(−Δp)s是分数阶p-拉普拉斯算子…

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Multiplicity of solutions for a scalar field equation involving a fractional p-Laplacian with general nonlinearity

We prove the existence of infinitely many radially symmetric solutions to the problem (−Δp)su=g(u)inRN,u∈Ws,p(RN), where s∈(0,1), 2≤p<∞, sp≤N, 2≤N∈N and (−Δp)s is the fractional p-Laplacian opera...

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来源期刊

Complex Variables and Elliptic Equations MATHEMATICS-

CiteScore

2.00

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds. The Journal was formally published as Complex Variables Theory and Application.