The concentration-compactness principle for variable exponent spaces and applications

By Julián Fernández Bonder, Analía Silva. 2009

75 citations recorded by the source corpus.

In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to the variable exponent case. We also give some applications to the existence problem for the $p(x)-$Laplacian with critical growth.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/434ab8e98b4ed9d99b07818b9a4fc8c42c94dc20

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Antonia Chinnì
2. Gabriele Bonanno
3. Pasquale Candito
4. Giuseppina D'Aguì
5. Diego Averna
6. Giovanni Molica Bisci
7. Biagio Ricceri
8. Guowei Dai

In Computational Theory and Mathematics

1. Antonia Chinnì
2. Gabriele Bonanno
3. Giovanni Molica Bisci
4. Pasquale Candito
5. Giuseppina D'Aguì
6. Diego Averna
7. Vicentiu D. Rădulescu
8. Guowei Dai

Citations in the corpus

• Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent (2014, background): “The problem (Dλ,f ) has been studied by several authors (see for instance [3–5,10,9,13,12,14,15,8,18,19, 19,20,22,26]).”