A Dirichlet problem with asymptotically linear and changing sign nonlinearity.

Lucia, Marcello, Magrone, Paola, and Zhou, Huan-Song. "A Dirichlet problem with asymptotically linear and changing sign nonlinearity.." Revista Matemática Complutense 16.2 (2003): 465-481. <http://eudml.org/doc/44510>.

@article{Lucia2003,
abstract = {This paper deals with the problem of finding positive solutions to the equation -∆[u] = g(x,u) on a bounded domain 'Omega' with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.},
author = {Lucia, Marcello, Magrone, Paola, Zhou, Huan-Song},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones diferenciales elípticas; Ecuaciones en derivadas parciales no lineales; Problema de Dirichlet; Comportamiento asintótico; elliptic equation; mountain pass theorem; asymptotically linear nonlinearity},
language = {eng},
number = {2},
pages = {465-481},
title = {A Dirichlet problem with asymptotically linear and changing sign nonlinearity.},
url = {http://eudml.org/doc/44510},
volume = {16},
year = {2003},
}

TY - JOUR
AU - Lucia, Marcello
AU - Magrone, Paola
AU - Zhou, Huan-Song
TI - A Dirichlet problem with asymptotically linear and changing sign nonlinearity.
JO - Revista Matemática Complutense
PY - 2003
VL - 16
IS - 2
SP - 465
EP - 481
AB - This paper deals with the problem of finding positive solutions to the equation -∆[u] = g(x,u) on a bounded domain 'Omega' with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.
LA - eng
KW - Ecuaciones diferenciales elípticas; Ecuaciones en derivadas parciales no lineales; Problema de Dirichlet; Comportamiento asintótico; elliptic equation; mountain pass theorem; asymptotically linear nonlinearity
UR - http://eudml.org/doc/44510
ER -