Nehari manifold approach for superlinear double phase problems with variable exponents

被引：0
作者：
Ángel Crespo-Blanco
Patrick Winkert
机构：
[1] Technische Universität Berlin,Institut für Mathematik
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2024年 / 203卷
关键词：
Double phase operator with variable exponent; Existence of solutions; Multiple solutions; Mountain pass theorem; Nehari manifold; 35A01; 35J20; 35J25; 35J62; 35J92;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we consider quasilinear elliptic equations driven by the variable exponent double phase operator with superlinear right-hand sides. Under very general assumptions on the nonlinearity, we prove a multiplicity result for such problems whereby we show the existence of a positive solution, a negative one and a solution with changing sign. The sign-changing solution is obtained via the Nehari manifold approach and, in addition, we can also give information on its nodal domains.
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页码：605 / 634
页数：29
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