Two constant sign solutions for a nonhomogeneous Neumann boundary value problem

Liliana Klimczak. "Two constant sign solutions for a nonhomogeneous Neumann boundary value problem." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 14 (2015): 47-62. <http://eudml.org/doc/276431>.

@article{LilianaKlimczak2015,
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.},
author = {Liliana Klimczak},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {elliptic equation; Neumann problem; constant sign solutions; minimization; regularity theory; strong maximum principle},
language = {eng},
pages = {47-62},
title = {Two constant sign solutions for a nonhomogeneous Neumann boundary value problem},
url = {http://eudml.org/doc/276431},
volume = {14},
year = {2015},
}

TY - JOUR
AU - Liliana Klimczak
TI - Two constant sign solutions for a nonhomogeneous Neumann boundary value problem
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2015
VL - 14
SP - 47
EP - 62
AB - 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.
LA - eng
KW - elliptic equation; Neumann problem; constant sign solutions; minimization; regularity theory; strong maximum principle
UR - http://eudml.org/doc/276431
ER -