Nonexistence of solutions of elliptic differential inequalities in conic domains

作     者：Laptev, GG 

作者机构：Tula State Univ Tula Russia 

出 版 物：《MATHEMATICAL NOTES》 (数学札记)

年 卷 期：2002年第71卷第5-6期

页      面：782-793页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：INTAS, (00-136) Leading Scientific Schools, (00-15-96047) Russian Foundation for Basic Research, РФФИ, (01-01-00884) 

主　　题：elliptic differential inequality semilinear differential inequality trial function method conic domain nonlinear capacity Sobolev spaces 

摘      要：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.