Elliptic equations with critical and supercritical growth at the boundary

被引：0

作者：

Furtado, Marcelo F. ^{[1
]}

de Oliveira, Rodolfo F. ^{[1
]}

机构：

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 536卷 / 02期

关键词：

Nonlinear boundary condition; Critical and supercritical growth; Concave-convex problems; CONVEX-CONCAVE PROBLEM; SELF-SIMILAR SOLUTIONS; CONFORMAL DEFORMATION; SOBOLEV INEQUALITIES; POSITIVE SOLUTIONS; MULTIPLICITY; NONLINEARITIES; EXISTENCE; CONSTANT; THEOREM;

D O I：

10.1016/j.jmaa.2024.128177

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we consider two classes of elliptic problems with nonlinear boundary conditions of concave-convex type. In the first problem, we obtain two nonzero and nonnegative solutions when the nonlinear term exhibits critical growth. In the second problem, we obtain infinitely many solutions (with no prescribed sign) by assuming that the nonlinearity is even and subcritical near the origin but with no growth condition at infinity. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：22

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