POSITIVE RADIAL SOLUTIONS FOR THE MINKOWSKI-CURVATURE EQUATION WITH NEUMANN BOUNDARY CONDITIONS

被引：10

作者：

Boscaggin, Alberto ^{[1
]}

Colasuonno, Francesca ^{[1
]}

Noris, Benedetta ^{[2
]}

机构：

[1] Univ Torino, Dipartimento Matemat Giuseppe Peano, Via Carlo Alberto 10, I-10123 Turin, Italy

[2] Univ Picardie Jules Verne, Lab Amienois Math Fondamentale & Appl, 33 Rue St Leu, F-80039 Amiens, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2020年 / 13卷 / 07期

关键词：

Lorentz-Minkowski mean curvature operator; shooting method; existence and multiplicity; oscillating solutions; Neumann boundary conditions; BORN-INFELD EQUATION; DIRICHLET PROBLEM; P-LAPLACIAN; NONLINEAR PROBLEMS; GROUND-STATES; OPERATOR; HYPERSURFACES; UNIQUENESS;

D O I：

10.3934/dcdss.2020150

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze existence, multiplicity and oscillatory behavior of positive radial solutions to a class of quasilinear equations governed by the Lorentz-Minkowski mean curvature operator. The equation is set in a ball or an annulus of RN, is subject to homogeneous Neumann boundary conditions, and involves a nonlinear term on which we do not impose any growth condition at infinity. The main tool that we use is the shooting method for ODEs.

引用

页码：1921 / 1933

页数：13

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