Geodesic
Positive solutions to quasilinear equations involving critical exponent on perturbed annular domains
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we study the existence of positive solutions for the problem $$ -\Delta_{p}u=u^{p^{*}-1} \quad \hbox{in } \Omega \quad \hbox{and} \quad u=0 \quad \hbox{on } \partial{\Omega} $$ where $\Omega$ is a perturbed annular domain (see definition in the introduction) and $N greater than p \geq 2$. To prove our main results, we use the Concentration-Compactness Principle and variational techniques.
Classification : 35B33, 35H30
Keywords: p-Laplacian operator, critical exponents, deformation lemma 
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     author = {Alves, Claudianor O.},
     title = {Positive solutions to quasilinear equations involving critical exponent on perturbed annular domains},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a162/}
}
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Alves, Claudianor O. Positive solutions to quasilinear equations involving critical exponent on perturbed annular domains. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a162/