6533b856fe1ef96bd12b2cec

RESEARCH PRODUCT

Three solutions for a Neumann boundary value problem involving the p-Laplacian

Diego AvernaBonanno G.

subject

Three solutionslcsh:Mathematicsp-LaplacianNeumann problemCritical pointslcsh:QA1-939

description

In this note we prove the existence of an open interval ]λ', λ"[ for each λ of which a Neumann boundary value problem involving the p-Laplacian and depending on λ admits at least three solutions. The result is based on a recent three critical points theorem.

http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/140