Display Abstract

Title Parametric nonlinear nonhomogeneous Neumann equations involving a nonhomogeneous differential operator

Name Patrick Winkert
Country Germany
Email winkert@math.tu-berlin.de
Co-Author(s) Said El Manouni, Nikolaos S. Papageorgiou
Submit Time 2014-02-28 13:43:50
Session
Special Session 34: Variational methods for discrete and continuous boundary value problems (with applications)
Contents
This talk is concerned with the existence of solutions to parametric elliptic equations driven by a nonhomogeneous differential operator with a nonhomogeneous Neumann boundary condition. The assumptions on the operator involve the $p$-Laplacian, the $(p,q)$-Laplacian and the generalized $p$-mean curvature differential operator. Based on variational tools combined with truncation and comparison techniques we prove the existence of at least three nontrivial solutions provided the parameter is sufficiently large.