Multiplicity and regularity results for some quasilinear elliptic systems on RN

被引：16

作者：

Stavrakakis, NM ^{[1
]}

Zographopoulos, NB ^{[1
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 50卷 / 01期

关键词：

p-Laplacian systems; indefinite weights; homogeneous Sobolev spaces; unbounded domains; variational methods; regularity;

D O I：

10.1016/S0362-546X(01)00732-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Multiplicity and regularity of the solutions of the quasilinear elliptic systems were studied. These systems were studied in bounded and unbounded domains and necessary operators were introduced and their basic characteristics were established. In the bounded domain case, the existence was proved by means of a subdifferential. The existence of nonsemitrivial solutions for system was also investigated.

引用

页码：55 / 69

页数：15

共 50 条

[1] MULTIPLICITY RESULTS FOR SOME QUASILINEAR ELLIPTIC PROBLEMS
de Paiva, Francisco Odair
do O, Joao Marcos
de Medeiros, Everaldo Souto
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2009, 34 (01) : 77 - 89
[2] SOME REGULARITY RESULTS FOR QUASILINEAR ELLIPTIC SYSTEMS OF SECOND-ORDER
HILDEBRANDT, S
WIDMAN, KO
MATHEMATISCHE ZEITSCHRIFT, 1975, 142 (01) : 67 - 86
[3] Existence and multiplicity results for a class of resonant quasilinear elliptic problems on RN
Alves, CO
Carriao, PC
Miyagaki, OH
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 39 (01) : 99 - 110
[4] Multiplicity of solutions for quasilinear elliptic equations in RN
Aouaoui, Sami
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 370 (02) : 639 - 648
[5] Existence and multiplicity results for quasilinear elliptic differential systems
Arioli, G
Gazzola, F
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2000, 25 (1-2) : 125 - 153
[6] Multiplicity results for some quasilinear elliptic problems with concave nonlinearities
Ruichang Pei
Journal of Elliptic and Parabolic Equations, 2024, 10 : 361 - 386
[7] Multiplicity results for some quasilinear elliptic problems with concave nonlinearities
Pei, Ruichang
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2024, 10 (01) : 361 - 386
[8] Existence and multiplicity results for some quasilinear elliptic equation with weights
Iturriaga, Leonelo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 339 (02) : 1084 - 1102
[9] SOME REGULARITY RESULTS FOR ELLIPTIC SYSTEMS
Landes, R.
Mirafzali, A.
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2005, 18 (06) : 669 - 679
[10] Existence and multiplicity results for a class of degenerate quasilinear elliptic systems
Afrouzi, G. A.
Chung, N. T.
Mandavi, S.
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2014, 21 (05) : 769 - 785

← 1 2 3 4 5 →