ABSTRACT
Let Ω be a bounded and smooth domain in . We study in this paper the following nonlinear transmission problem
where the unknowns are
and the real numbers
. Actually we are looking for solutions u, v with prescribed
-norm. The problem has a variational formulation and indeed, under minimal assumptions, we are able to find infinitely many solutions by using the Krasnoselkii genus, whatever the
norm of u and v a priori is.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Gaetano Siciliano http://orcid.org/0000-0001-5823-0392