Giovanni Anello, Francesco Tulone
Abstract:
In this article we study the existence and multiplicity of solutions
for the Dirichlet problem
where
is a bounded domain in
,
are Caratheodory functions,
and
are nonnegative parameters. We impose no growth condition
at
on the nonlinearities f,g. A corollary to our main result
improves an existence result recently obtained by Bonanno via a critical point
theorem for
functionals which do not satisfy the usual sequential weak
lower semicontinuity property.
Submitted May 20, 2014. Published September 26, 2014.
Math Subject Classifications: 35J20, 35J25.
Key Words: Existence and multiplicity of solutions; Dirichlet problem;
growth condition; critical point theorem.
Show me the PDF file (216 KB), TEX file, and other files for this article.
Giovanni Anello Department of Mathematics and Computer Science Messina University Viale F. Stagno D'Alcontres 31, 98166, Messina, Italy email: ganello@unime.it | |
Francesco Tulone Department of Mathematics and Computer Science Palermo University Via Archirafi 34, 90123, Palermo, Italy email: francesco.tulone@unipa.it |
Return to the EJDE web page