Displaying similar documents to “Supercritical elliptic problems in domains with small holes”

A refinement of the radial Pohozaev identity

Florin Catrina (2010)

Mathematica Bohemica

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In this article we produce a refined version of the classical Pohozaev identity in the radial setting. The refined identity is then compared to the original, and possible applications are discussed.

Symmetrization of functions and principal eigenvalues of elliptic operators

François Hamel, Nikolai Nadirashvili, Emmanuel Russ (2011-2012)

Séminaire Laurent Schwartz — EDP et applications

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In this paper, we consider shape optimization problems for the principal eigenvalues of second order uniformly elliptic operators in bounded domains of ℝ n . We first recall the classical Rayleigh-Faber-Krahn problem, that is the minimization of the principal eigenvalue of the Dirichlet Laplacian in a domain with fixed Lebesgue measure. We then consider the case of the Laplacian with a bounded drift, that is the operator - Δ + v · ∇ , for which the minimization problem is still well posed. Next, we...