6533b854fe1ef96bd12af4a1

RESEARCH PRODUCT

Existence of non-zero solutions for a Dirichlet problem driven by (p(x),q(x)-Laplacian

A. SciammettaE. TornatoreA. Chinnì

subject

Dirichlet problemPure mathematicsmultiple solutionscritical pointsApplied Mathematics010102 general mathematicsZero (complex analysis)q(x))-LaplacianMathematics::Spectral Theory-Laplacian01 natural sciences(p(x)q(x))-Laplacian critical points multiple solutions Dirichlet problemTerm (time)010101 applied mathematicsNonlinear systemSettore MAT/05 - Analisi Matematica0101 mathematics(p(x)Laplace operatorAnalysisDirichlet problemMathematics

description

The paper focuses on a Dirichlet problem driven by the (Formula presented.) -Laplacian. The existence of at least two non-zero solutions under suitable conditions on the nonlinear term is established. The approach is based on variational methods.

yearjournalcountryeditionlanguage
2021-02-22Applicable Analysis
https://doi.org/10.1080/00036811.2021.1889523