Two constant sign solutions for a nonhomogeneous Neumann boundary value problem
30 gru 2015
O artykule
Data publikacji: 30 gru 2015
Zakres stron: 47 - 62
Otrzymano: 08 sty 2015
DOI: https://doi.org/10.1515/aupcsm-2015-0004
Słowa kluczowe
© by Liliana Klimczak
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.
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.