Monotonicity results in half-spaces for the p-Laplacian

被引：1

作者：

Sciunzi, Berardino ^{[1
]}

机构：

[1] Univ Calabria, Dipartimento Matemat, I-87036 Cosenza, Italy

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2015年 / 145卷 / 03期

关键词：

LINEAR ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; REGULARITY; SYMMETRY; MAXIMUM; INEQUALITIES; LIOUVILLE; EXISTENCE; PRINCIPLE; OPERATORS;

D O I：

10.1017/S0308210513001315

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove monotonicity properties of positive weak solutions to -Delta(p)u = f(u) in half-spaces for the case in which (2N + 2)/( N + 2) < p < 2 when zero Dirichlet boundary conditions are imposed. The model nonlinearity is given by f(s) := s(q) - lambda s(m) with q > m >= p - 1 and lambda > 0.

引用

页码：597 / 610

页数：14

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