6533b82afe1ef96bd128c8df
RESEARCH PRODUCT
Positive solutions for nonlinear Robin problems
D. AvernaN. S. PapageorgiouE. Tornatoresubject
truncation and comparison techniquesminimax positive solutionSettore MAT/05 - Analisi Matematicalcsh:MathematicsMathematics::Analysis of PDEssuperlinear reactionRobin boundary condition superlinear reaction truncation and comparison techniques bifurcation-type result minimax positive solutionRobin boundary conditionbifurcation-type resultlcsh:QA1-939description
We consider a parametric Robin problem driven by the p-Laplacian with an indefinite potential and with a superlinear reaction term which does not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions. We prove a bifurcation-type theorem describing the nonexistence, existence and multiplicity of positive solutions as the parameter varies. We also show the existence of a minimal positive solution $\tilde{u}_\lambda$ and establish the monotonicity and continuity of the map $\lambda\to \tilde{u}_\lambda$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-09-01 |