A study on a class of weighted elliptic problems with indefinite nonlinearities

被引：0

作者：

Razani, Abdolrahman ^{[1
]}

Costa, Gustavo S. A. ^{[2
]}

Figueiredo, Giovany M. ^{[3
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin, Iran

[2] Univ Fed Maranhao, Dept Matemat, CCET, Sao Luis, Brazil

[3] Univ Brasilia, Dept Dematemat, Brasilia, Brazil

来源：

APPLICABLE ANALYSIS | 2024年 / 103卷 / 13期

关键词：

Nodal solutions; indefinite nonlinearity; weighted p-Laplacian; fibering method; critical spectral parameter; P-LAPLACIAN; POSITIVE SOLUTIONS; NODAL SOLUTIONS; EQUATIONS; EXISTENCE;

D O I：

10.1080/00036811.2023.2297865

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we will study the existence of solutions for a class of problems involving the p-Laplacian operator with weight and a nonlinearity that changes sign in a domain Omega subset of R-N with partial derivative Omega smooth and N >= 3. For this class of problems with subcritical growth, we can show the existence of two solutions, one nodal and one that does not change sign in Omega. To class with critical case, we prove the existence of nontrivial solution which does not change sign in Omega.

引用

页码：2353 / 2371

页数：19

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