TY - JOUR
AU - Nowakowski, Andrzej
AU - Orpel, Aleksandra
PY - 2006/03/01
Y2 - 2024/07/13
TI - Positive solutions for a nonconvex elliptic Dirichlet problem with superlinear response
JF - Topological Methods in Nonlinear Analysis
JA - TMNA
VL - 27
IS - 1
SE -
DO -
UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2006.007
SP - 177 - 194
AB - The existence of bounded solutions of the Dirichlet problem for a ceratinclass of elliptic partial differential equations is discussed here.We use variational methods based on the subdifferential theory and thecomparison principle for difergence form operators.We present duality and variational principles for this problem.As a consequences of the duality we obtain also the variational principle forminimizing sequences of $J$ which gives a measure of a duality gap between primal and dualfunctional for approximate solutions.
ER -