Fractional Laplacian: Pohozaev Identity and Nonexistence Results
نویسنده
چکیده
In this note we present the Pohozaev identity for the fractional Laplacian. As a consequence of this identity, we prove the nonexistence of nontrivial bounded solutions to semilinear problems with supercritical nonlinearities in starshaped domains. Résumé. Dans cette note, nous présentons l’identité de Pohozaev pour le Laplacien fractionnaire. Comme conséquence de cette identité, nous prouvons la nonexistence de solutions non triviales pour les problèmes semi-linéaires avec nonlinéarité sur-critique dans des domaines étoilés.
منابع مشابه
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