Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space

被引：122

作者：

Bereanu, Cristian ^{[1
]}

Jebelean, Petru ^{[2
]}

Torres, Pedro J. ^{[3
]}

机构：

[1] Romanian Acad, Inst Math Simion Stoilow, RO-010702 Bucharest, Romania

[2] W Univ Timisoara, Dept Math, RO-300223 Timisoara, Romania

[3] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2013年 / 264卷 / 01期

关键词：

Dirichlet problem; Positive radial solutions; Mean curvature operator; Minkowski space; Leray-Schauder degree; Szulkin's critical point theory; ELLIPTIC-EQUATIONS; HYPERSURFACES; EXISTENCE; SURFACES;

D O I：

10.1016/j.jfa.2012.10.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using Leray-Schauder degree arguments and critical point theory for convex, lower semicontinuous perturbations of C-1-functionals, we obtain existence of classical positive radial solutions for Dirichlet problems of type div(del v-root 1 - vertical bar del v vertical bar(2)) + f(vertical bar x vertical bar, v) = 0 in B(R), v = 0 on partial derivative B(R). Here, B(R) = {x is an element of R-N: vertical bar x vertical bar < R} and f : [0, R] x [0, alpha) -> R is a continuous function, which is positive on (0, R] x (0, alpha). (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：270 / 287

页数：18

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