奇异Φ-拉普拉斯问题两个解的存在性

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2022-01-01 DOI:10.1515/ans-2022-0037

P. Candito, U. Guarnotta, R. Livrea

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引用次数: 2

摘要

摘要证明了一个参数奇异拟线性椭圆问题两个解的存在性。该方程由Φ\ Phi-拉普拉斯算子驱动，反应项可以是非单调的。所使用的主要工具是局部最小定理和山口定理，以及截断技术。还主要通过先验估计和扰动技术研究了解的全局C1，τ｛C｝^｛1，\τ｝正则性。

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Existence of two solutions for singular Φ-Laplacian problems

Abstract Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the Φ \Phi -Laplacian operator, and the reaction term can be nonmonotone. The main tools employed are the local minimum theorem and the Mountain pass theorem, together with the truncation technique. Global C 1 , τ {C}^{1,\tau } regularity of solutions is also investigated, chiefly via a priori estimates and perturbation techniques.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.