6533b821fe1ef96bd127b833

RESEARCH PRODUCT

Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian

Pasquale CanditoJoão R. Santos JúniorLeszek GasińskiRoberto Livrea

subject

PhysicsQA299.6-433sign-changing coefficientmultiple fixed pointsNonlocal problemsp-LaplacianDegenerate energy levels35j2035j25Settore MAT/05 - Analisi Matematica35q74p-LaplacianMultiplicity (chemistry)AnalysisMathematical physics

description

Abstract We consider a nonlinear boundary value problem with degenerate nonlocal term depending on the L q -norm of the solution and the p-Laplace operator. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles the number of “positive bumps” of the degenerate term. The solutions are also ordered according to their L q -norms.

https://doi.org/10.1515/anona-2021-0200