Existence and stability of solutions for semilinear Dirichlet problems

@article{MarekGalewski2006,
abstract = {We provide existence and stability results for semilinear Dirichlet problems with nonlinearities satisfying some general local growth conditions. We derive a general abstract result which we then apply to prove the existence of solutions, their stability and continuous dependence on parameters for a sixth order ODE with Dirichlet type boundary data.},
author = {Marek Galewski},
journal = {Annales Polonici Mathematici},
keywords = {abstract Dirichlet problem; dual variational method; continuous dependence on parameters},
language = {eng},
number = {2},
pages = {127-139},
title = {Existence and stability of solutions for semilinear Dirichlet problems},
url = {http://eudml.org/doc/281125},
volume = {88},
year = {2006},
}

TY - JOUR
AU - Marek Galewski
TI - Existence and stability of solutions for semilinear Dirichlet problems
JO - Annales Polonici Mathematici
PY - 2006
VL - 88
IS - 2
SP - 127
EP - 139
AB - We provide existence and stability results for semilinear Dirichlet problems with nonlinearities satisfying some general local growth conditions. We derive a general abstract result which we then apply to prove the existence of solutions, their stability and continuous dependence on parameters for a sixth order ODE with Dirichlet type boundary data.
LA - eng
KW - abstract Dirichlet problem; dual variational method; continuous dependence on parameters
UR - http://eudml.org/doc/281125
ER -