ON THE DIRICHLET PROBLEM WITH NONCONVEX NONLINEARITY

被引：0

作者：

Galewski, Marek ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2010年 / 47卷 / 02期

关键词：

Dirichlet problem; dual variational method; existence of solutions; nonlinear eigenvalue;

D O I：

10.1556/SScMath.2009.1124

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide existence results for 2m order Dirichlet problems with nonconvex nonlinearity which satisfies general local growth conditions. In doing so we construct a dual variational method. Problem considered relates to the problem of nonlinear eigenvalue.

引用

页码：190 / 199

页数：10

共 50 条

[1] A note on a dirichlet problem with concave-convex nonlinearity
Galewski, Marek
MATHEMATICA SLOVACA, 2010, 60 (03) : 353 - 360
[2] A Dirichlet problem for nonlocal degenerate elliptic operators with internal nonlinearity
Yu, Hui
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 448 (01) : 326 - 346
[3] DUAL VARIATIONAL METHOD FOR A FOURTH ORDER DIRICHLET PROBLEM
Galewski, Marek
GEORGIAN MATHEMATICAL JOURNAL, 2008, 15 (04) : 653 - 664
[4] Approximation to the Dirichlet problem for a higher-order elliptic equation with a spectral parameter and a discontinuous nonlinearity
D. K. Potapov
Differential Equations, 2007, 43 : 1031 - 1032
[5] Approximation to the Dirichlet problem for a higher-order elliptic equation with a spectral parameter and a discontinuous nonlinearity
Potapov, D. K.
DIFFERENTIAL EQUATIONS, 2007, 43 (07) : 1031 - 1032
[6] On Dirichlet problem
A. K. Gushchin
Theoretical and Mathematical Physics, 2024, 218 : 51 - 67
[7] On Dirichlet problem
Gushchin, A. K.
THEORETICAL AND MATHEMATICAL PHYSICS, 2024, 218 (01) : 51 - 67
[8] On the Dirichlet problem
Villa-Morales, Jose
EXPOSITIONES MATHEMATICAE, 2012, 30 (04) : 406 - 411
[9] EXISTENCE OF BOUNDED SOLUTIONS FOR FOURTH ORDER DIRICHLET PROBLEMS WITH CONVEX-CONCAVE NONLINEARITY
Galewski, Marek
DEMONSTRATIO MATHEMATICA, 2009, 42 (01) : 75 - 81
[10] The Behavior of Solutions to the Dirichlet Problem for Second Order Elliptic Equations with Variable Nonlinearity Exponent in a Neighborhood of a Conical Boundary Point
Alkhutov Y.
Borsuk M.V.
Journal of Mathematical Sciences, 2015, 210 (4) : 341 - 370

← 1 2 3 4 5 →