New variational principle and duality for an abstract semilinear Dirichlet problem

Marek Galewski. "New variational principle and duality for an abstract semilinear Dirichlet problem." Annales Polonici Mathematici 82.1 (2003): 51-60. <http://eudml.org/doc/280320>.

@article{MarekGalewski2003,
abstract = {A new variational principle and duality for the problem Lu = ∇G(u) are provided, where L is a positive definite and selfadjoint operator and ∇G is a continuous gradient mapping such that G satisfies superquadratic growth conditions. The results obtained may be applied to Dirichlet problems for both ordinary and partial differential equations.},
author = {Marek Galewski},
journal = {Annales Polonici Mathematici},
keywords = {abstract Dirichlet problem; dual variational method; existence of solutions},
language = {eng},
number = {1},
pages = {51-60},
title = {New variational principle and duality for an abstract semilinear Dirichlet problem},
url = {http://eudml.org/doc/280320},
volume = {82},
year = {2003},
}

TY - JOUR
AU - Marek Galewski
TI - New variational principle and duality for an abstract semilinear Dirichlet problem
JO - Annales Polonici Mathematici
PY - 2003
VL - 82
IS - 1
SP - 51
EP - 60
AB - A new variational principle and duality for the problem Lu = ∇G(u) are provided, where L is a positive definite and selfadjoint operator and ∇G is a continuous gradient mapping such that G satisfies superquadratic growth conditions. The results obtained may be applied to Dirichlet problems for both ordinary and partial differential equations.
LA - eng
KW - abstract Dirichlet problem; dual variational method; existence of solutions
UR - http://eudml.org/doc/280320
ER -