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Infinitely many positive solutions for a double phase problems involving the double phase operator

Year: 2024

Type: article

Abstract: In this paper we study a double phase problem which involves the double phase operator, and the nonlinear term has an oscillatory behavior. By using variational methods and the theory of the Musielak-Orlicz-Sobolev space, we establish the existence of infinitely many solutions whose $W_0^{1,H}(\Omega)$-norms tend to zero (to infinity, respectively) whenever the nonlinearity oscillates at zero (at infinity, respectively).

Source: Topological Methods in Nonlinear Analysis

DOI: 10.12775/tmna.2024.013

Authors: Chunbo Lian, Bin Ge, Qinghai Cao, Yu Zhang

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4402782390

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