Combined effects for non-autonomous singular biharmonic problems
Analysis of PDEs
2020-05-06 v1
Abstract
We study the existence of nontrivial weak solutions for a class of generalized -biharmonic equations with singular nonlinearity and Navier boundary condition. The proofs combine variational and topological arguments. The approach developed in this paper allows for the treatment of several classes of singular biharmonic problems with variable growth arising in applied sciences, including the capillarity equation and the mean curvature problem.
Cite
@article{arxiv.2005.01788,
title = {Combined effects for non-autonomous singular biharmonic problems},
author = {Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:2005.01788},
year = {2020}
}