DOI: 10.68381/jca20051 ISSN: 0944-6532

On a Nonlinear Elliptic Transmission Problem with Critical Growth

Giovany M. Figueiredo, Marcelo Montenegro

This paper is concerned with the existence of nontrivial solutions to a class of transmission problems with critical growth in a bounded domain on

\mathbb{R}^N R N
. Our approach is based on variational methods.