Radial solutions for Neumann problems involving mean curvature operators in Euclidean and Minkowski spaces

被引：58

作者：

Bereanu, Cristian ^{[3
]}

Jebelean, Petru ^{[2
]}

Mawhin, Jean ^{[1
]}

机构：

[1] Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium

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

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

来源：

MATHEMATISCHE NACHRICHTEN | 2010年 / 283卷 / 03期

关键词：

Mean curvature operators; Neumann problem; radial solutions; fixed point operators; Leray-Schauder degree; HYPERSURFACES; EXISTENCE; LAPLACIAN; EQUATIONS; PENDULUM;

D O I：

10.1002/mana.200910083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the existence of radial solutions for Neumann problems in a ball and in an annular domain, associated to mean curvature operators in Euclidean and Mmkowski spaces. Our approach relies on the Leray-Schauder degree together with some fixed point reformulations of our nonlinear Neumann boundary value problems (C) 2010 WILEY-VCH Verlag GmbH & Co KGaA, Weinheim

引用

页码：379 / 391

页数：13

共 22 条

[1] ELLIPTIC EQUATIONS WITH NON-INVERTIBLE FREDHOLM LINEAR PART AND BOUNDED NONLINEARITIES [J].

AMANN, H ;

AMBROSETTI, A ;

MANCINI, G .

MATHEMATISCHE ZEITSCHRIFT, 1978, 158 (02) :179-194

[2]

[Anonymous], 1985, NONLINEAR FUNCTIONAL

[3] SPACELIKE HYPERSURFACES WITH PRESCRIBED BOUNDARY-VALUES AND MEAN-CURVATURE [J].

BARTNIK, R ;

SIMON, L .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 87 (01) :131-152

[4]

Bereanu C, 2009, P AM MATH SOC, V137, P161

[5] Existence and multiplicity results for some nonlinear problems with singular φ-Laplacian [J].

Bereanu, C. ;

Mawhin, J. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 243 (02) :536-557

[6]

Bereanu C, 2006, ADV DIFFERENTIAL EQU, V11, P35

[7]

BEREANU C, AIP C P IN PRESS

[8]

Calabi E., 1970, Proc. Symp. Pure Math., VXV, P223

[9] MAXIMAL SPACE-LIKE HYPERSURFACES IN LORENTZ-MINKOWSKI SPACES [J].

CHENG, SY ;

YAU, ST .

ANNALS OF MATHEMATICS, 1976, 104 (03) :407-419

[10] On a modified capillary equation [J].

Clement, P ;

Manasevich, R ;

Mitidieri, E .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 124 (02) :343-358

← 1 2 3 →