<abstract xmlns="http://www.w3.org/1999/xhtml">

<p> We consider a nonlinear Neumann problem with a nonhomogeneous elliptic differential operator. With some natural conditions for its structure and some general assumptions on the growth of the reaction term we prove that the problem has two nontrivial solutions of constant sign. In the proof we use variational methods with truncation and minimization techniques.</p>
</abstract>

We consider a nonlinear Neumann problem with a nonhomogeneous elliptic differential operator. With some natural conditions for its structure and some general assumptions on the growth of the reaction term we prove that the problem has two nontrivial solutions of constant sign. In the proof we use variational methods with truncation and minimization techniques.

Two constant sign solutions for a nonhomogeneous Neumann boundary value problem

Faculty of Mathematics and Computer Science Jagiellonian University Lojasiewicza 6 30-048 Krakow Poland

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

{"article-title":"Two constant sign solutions for a nonhomogeneous Neumann boundary value problem"}

We consider a nonlinear Neumann problem with a nonhomogeneous elliptic differential operator. With some natural conditions for its structure and some general...

Two constant sign solutions for a nonhomogeneous Neumann boundary value problem

Published Online: Dec 30, 2015

Page range: 47 - 62

Received: Jan 08, 2015

DOI: https://doi.org/10.1515/aupcsm-2015-0004

© by Liliana Klimczak

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.