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math.AP2021
Existence and multiplicity of solutions for a Dirichlet problem in Fractional Orlicz- Sobolev spaces
Pablo Ochoa, Analía Silva, Maria José Suarez Marziani
In this paper, we first prove the existence of solutions to Dirichlet problems involving the fractional -Laplacian operator and lower order terms by appealing to sub- and supers…
math.AP2021
The concentration-compactness principle for Orlicz spaces and applications
Julián Fernández Bonder, Analía Silva
In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to Orlicz spaces. As an application we show an existence result to some critical ellipti…
math.AP2021
Nonstandard growth optimization problems with volume constraint
Ariel Salort, Belem Schvager, Analía Silva
In this article we study some optimal design problems related to nonstandard growth eigenvalues ruled by the Laplacian operator. More precisely, given and $α,c>…