On the existence of multiple positive solutions for a certain class of elliptic problems
Volume 66 / 2004
Banach Center Publications 66 (2004), 251-262
MSC: 35J20, 35J25.
DOI: 10.4064/bc66-0-17
Abstract
We investigate the existence of solutions for the Dirichlet problem including the generalized balance of a membrane equation. We present a duality theory and variational principle for this problem. As one of the consequences of the duality we obtain some numerical results which give a measure of a duality gap between the primal and dual functional for approximate solutions.
