6533b82cfe1ef96bd128f618

RESEARCH PRODUCT

Two positive solutions for a Dirichlet problem with the (p,q)‐Laplacian

Angela SciammettaElisabetta Tornatore

subject

Dirichlet problemPure mathematicsmultiple solutionSettore MAT/05 - Analisi MatematicaGeneral Mathematicscritical pointsemilinear elliptic equationLaplace operator(pq)-LaplacianCritical point (mathematics)Dirichlet problemMathematics

description

The aim of this paper is to prove the existence of two solutions for a nonlinear elliptic problem involving the (p,q) -Laplacian operator. The solutions are obtained by using variational methods and critical points theorems. The positivity of the solutions is shown by applying a generalized version of the strong maximum principle.

https://doi.org/10.1002/mana.201800330