Degenerate Schrodinger-Kirchhoff (p, N)- Laplacian problem with singular Trudinger-Moser nonlinearity in RN

被引：0

作者：

Mahanta, Deepak Kumar ^{[1
]}

Mukherjee, Tuhina ^{[1
]}

Sarkar, Abhishek ^{[1
]}

机构：

[1] Indian Inst Technol Jodhpur, Dept Math, Jodhpur 342030, Rajasthan, India

来源：

FORUM MATHEMATICUM | 2025年 / 37卷 / 02期

关键词：

(p; N)-Laplacian; Schrodinger-Kirchhoff equations; Trudinger-Moser inequality; Ekeland variational principle; mountain pass theorem; exponential nonlinearity; UNBOUNDED-DOMAINS; INEQUALITIES; EXISTENCE; EQUATIONS; GROWTH;

D O I：

10.1515/forum-2023-0407

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the existence of nontrivial nonnegative solutions for a ( p, N)- Laplacian Schrodinger-Kirchhoff problem in R-N with singular exponential nonlinearity. The main features of the paper are the ( p, N) growth of the elliptic operators, the double lack of compactness, and the fact that the Kirchhoff function is of degenerate type. To establish the existence results, we use the mountain pass theorem, the Ekeland variational principle, the singular Trudinger-Moser inequality, and a completely new Brezis-Lieb-type lemma for singular exponential nonlinearity.

引用

页码：459 / 483

页数：25

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