Nonlinear eigenvalues for anisotropic quasilinear degenerate elliptic equations

被引:30
作者
Di Castro, Agnese [1 ]
Montefusco, Eugenio [1 ]
机构
[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
关键词
Degenerate elliptic equations; Variational methods; REGULARITY; EXISTENCE; DIRICHLET;
D O I
10.1016/j.na.2008.06.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the Dirichlet problem for a class of anisotropic degenerate elliptic equations. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:4093 / 4105
页数:13
相关论文
共 22 条
[11]   Existence and nonexistence results for anisotropic quasilinear elliptic equations [J].
Fragalà, I ;
Gazzola, F ;
Kawohl, B .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2004, 21 (05) :715-734
[12]   Unbounded supersolutions of nonlinear equations with nonstandard growth [J].
Harjulehto, Petteri ;
Kinnunen, Juha ;
Lukkari, Teemu .
BOUNDARY VALUE PROBLEMS, 2007,
[13]  
Kielhofer H., 2004, BIFURCATION THEORY I, P76
[14]   ON THE THEORY OF EMBEDDING OF ANISOTROPIC SOBOLEV SPACES [J].
KRUZHKOV, SN ;
KOLODII, IM .
RUSSIAN MATHEMATICAL SURVEYS, 1983, 38 (02) :188-189
[15]   REGULARITY AND EXISTENCE OF SOLUTIONS OF ELLIPTIC-EQUATIONS WITH P,Q-GROWTH CONDITIONS [J].
MARCELLINI, P .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 90 (01) :1-30
[16]  
Nikol'ski S.M., 1958, Izv. Akad. Nauk SSSR Ser. Mat, V22, P321
[17]   A MOUNTAIN PASS THEOREM [J].
PUCCI, P ;
SERRIN, J .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 60 (01) :142-149
[18]  
Stampacchia G., 1965, Ann. Inst. Fourier, V1, P189
[19]  
Struwe M., 1990, APPL NONLINEAR PARTI
[20]   The problem of Dirichlet for anisotropic quasilinear degenerate elliptic equations [J].
Tersenov, Alkis S. ;
Tersenov, Aris S. .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 235 (02) :376-396