Nodal solutions for logarithmic weighted N-laplacian problem with exponential nonlinearities

被引：0
|
作者：
Dridi B. [1 ]
Jaidane R. [2 ]
机构：
[1] Department of mathematics, Faculty of Applied Sciences, Umm Al-Qura University, P.O. Box 14035, Mecca
[2] Department of Mathematics, Faculty of Science of Tunis, University of Tunis El Manar, Tunis
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2024年 / 70卷 / 1期
关键词：
35J20; 35J60; 35K57; 49J45; Critical exponential growth; N-laplacian operator; Nodal solutions; Weighted sobolev space;
D O I：
10.1007/s11565-023-00457-6
中图分类号：
学科分类号：
摘要：
In this article, we study the following problem (Formula presented.) where B is the unit ball in RN, N≥2 and w(x) a singular weight of logarithm type. The reaction source f(x, u) is a radial function with respect to x and is subcritical or critical with respect to a maximal growth of exponential type. By using the constrained minimization in Nehari set coupled with the quantitative deformation lemma and degree theory, we prove the existence of nodal solutions. © The Author(s) under exclusive license to Università degli Studi di Ferrara 2023.
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页码：63 / 88
页数：25
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