Displaying similar documents to “Nonexistence of positive solution for quasilinear elliptic problems in the half-space.”

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.

Caccioppoli estimates and very weak solutions of elliptic equations

Tadeusz Iwaniec, Carlo Sbordone (2003)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Caccioppoli estimates are instrumental in virtually all analytic aspects of the theory of partial differential equations, linear and nonlinear. And there is always something new to add to these estimates. We emphasize the fundamental role of the natural domain of definition of a given differential operator and the associated weak solutions. However, we depart from this usual setting (energy estimates) and move into the realm of the so-called very weak solutions where important new applications...