3 papers
math.AP2016
On a PDE involving the -Laplace operator
Mihai Mihăilescu, Dušan Repovš
This paper establishes existence of solutions for a partial differential equation in which a differential operator involving variable exponent growth conditions is present. This op…
math.AP2016
Multiple solutions for a nonlinear and non-homogeneous problem in Orlicz-Sobolev spaces
Mihai Mihăilescu, Dušan Repovš
We study a non-homogeneous boundary value problem in a smooth bounded domain in . We prove the existence of at least two nonnegative and non-trivial weak solutions. O…
math.AP2016
An eigenvalue problem involving a degenerate and singular elliptic operator
Mihai Mihăilescu, Dušan Repovš
We study an eigenvalue problem involving a degenerate and singular elliptic operator on the whole space . We prove the existence of an unbounded and increasing sequen…