Multiplicity Results for a (p1(x), p2(x))‐Laplacian Equation via Variational Methods

Author:

Rezvani A.ORCID

Abstract

We prove the existence and multiplicity of nontrivial weak solutions for the following (p1(x), p2(x))‐Laplacian equation involving variable exponents: . Using Ricceri’s variational principle, we show the existence of at least three weak solutions for the problem. We also apply the variational method and genus theory to establish the existence of infinitely many solutions. Then, we prove the closedness of the set of eigenfunctions, such that p(x) ≡ p.

Publisher

Wiley

Reference30 articles.

1. Weak solutions for double phase problem driven by the (p(x), q(x))–Laplacian operator under dirichlet boundary conditions;El Ouaarabi M.;Boletim da Sociedade Paranaense de Matemática,2023

2. Weak solutions for a quasilinear elliptic and parabolic problems involving the (p(x), q(x))‐Laplacian operator;El Ouaarabi M.;Asia Pacific Journal,2023

3. LiuD. WangX. andYaoJ. On (p1(x) q2(x))-Laplace equations 2012 https://arxiv.org/pdf/1205.1854.

4. Continuous spectrum for a class of nonhomogeneous differential operators

5. Study of some elliptic system of (p(x),q(x))-Kirchhoff type with convection

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