On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems
Alessio Fiscella, Patrizia Pucci
ARTIGO
Inglês
This paper deals with the existence, multiplicity and the asymptotic behavior of nontrivial solutions for nonlinear problems driven by the fractional Laplace operator (-Delta)(s) and involving a critical Hardy potential. In particular, we consider { (-Delta)(s)u - gamma u/vertical bar x vertical bar...
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This paper deals with the existence, multiplicity and the asymptotic behavior of nontrivial solutions for nonlinear problems driven by the fractional Laplace operator (-Delta)(s) and involving a critical Hardy potential. In particular, we consider { (-Delta)(s)u - gamma u/vertical bar x vertical bar vertical bar(2s) = lambda u + theta f(x, u) + g(x, u) in Omega, u = 0 in R-N \ Omega, where Omega subset of R-N is a bounded domain, gamma, lambda and theta are real parameters, the function f is a subcritical nonlinearity, while g could be either a critical term or a perturbation
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33003017003P5
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Texto completo: https://projecteuclid.org/euclid.ade/1457536500
On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems
Alessio Fiscella, Patrizia Pucci
On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems
Alessio Fiscella, Patrizia Pucci
Fontes
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Advances in differential equations Vol. 21, no. 5-6 (May/June, 2016), p. 571-599 |