Positive solutions for a nonconvex elliptic Dirichlet problem with superlinear response
Keywords
Nonconvex elliptic Dirichlet problems, positive solutions, duality method, variational methodAbstract
The existence of bounded solutions of the Dirichlet problem for a ceratin class of elliptic partial differential equations is discussed here. We use variational methods based on the subdifferential theory and the comparison 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 for minimizing sequences of $J$ which gives a measure of a duality gap between primal and dual functional for approximate solutions.Downloads
Published
2006-03-01
How to Cite
1.
NOWAKOWSKI, Andrzej & ORPEL, Aleksandra. Positive solutions for a nonconvex elliptic Dirichlet problem with superlinear response. Topological Methods in Nonlinear Analysis [online]. 1 March 2006, T. 27, nr 1, s. 177–194. [accessed 5.6.2023].
Issue
Section
Articles
Stats
Number of views and downloads: 0
Number of citations: 0