ON A VARIANT OF THE MAXIMUM PRINCIPLE INVOLVING RADIAL p-LAPLACIAN WITH APPLICATIONS TO NONLINEAR EIGENVALUE PROBLEMS AND NONEXISTENCE RESULTS

被引：0

作者：

Adamowicz, Tomasz ^{[1
]}

Kalamajska, Agnieszka ^{[2
]}

机构：

[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

[2] Warsaw Univ, Inst Math, PL-02097 Warsaw, Poland

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2009年 / 34卷 / 01期

关键词：

Maximum principles; radial solutions; p-Laplace equation; singular PDE's; elliptic equations; QUASI-LINEAR EQUATIONS; DIFFERENTIAL-EQUATIONS; NONNEGATIVE SOLUTIONS; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; GROUND-STATES; SYMMETRY; OSCILLATION; BIFURCATION; UNIQUENESS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain the variant of maximum principle for radial solutions of p-harmonic equation -a Delta(p)(w) = phi(w). As a consequence of this result we prove monotonicity of constant sign solutions, analyze the support of the solutions and study their oscillations. The results axe applied to various type nonlinear eigenvalue problems and nonexistence theorems.

引用

页码：1 / 20

页数：20

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