On the Critical Exponents of Certain Nonlinear Boundary-Value Problems with Biharmonic Operator in the Exterior of a Ball

被引：0

作者：

Yu. V. Volodin

机构：

[1] Tula State University,

来源：

Mathematical Notes | 2006年 / 79卷

关键词：

critical exponent; semilinear inequality; a priori estimate; test function; homogeneous biharmonic equation; boundary condition of the first and second kind;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish sufficient conditions for the absence of global solutions of the differential inequality Δ2u≥|u|q in the exterior of a ball. We consider various boundary conditions and show that the critical exponents depend on these conditions. The proofs are based on the test function method developed by Mitidieri and Pokhozhaev.

引用

页码：185 / 195

页数：10

共 6 条

[1] Mitidieri E.(2001)A priori estimates and the absence of solutions of nonlinear partial differential equations and inequalities Trudy Mat. Inst. Steklov 234 1-362
[2] Pokhozhaev S. I.(1999)Absence of positive solutions for quasilinear elliptic problems in ℝ Trudy Mat. Inst. Steklov 227 192-222
[3] Mitidieri E.(1998)Absence of global positive solutions of quasilinear elliptic inequalities Dokl. Ross. Akad. Nauk 359 456-460
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