This article is cited in 2 papers

Nonexistence of Solutions of Elliptic Differential Inequalities in Conic Domains

G. G. Laptev

Tula State University

Abstract: We study some nonexistence problems for the solutions of semilinear elliptic differential inequalities and systems of second order in conic domains. The proof is based on the trial function method developed by Mitidieri and Pokhozhaev without recourse to comparison theorems and to the maximum principle.

UDC: 517.9

Received: 15.01.2001

DOI: 10.4213/mzm390

 English version: Mathematical Notes, 2002, 71:6, 782–793

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