Existence of solutions for a differential inclusion problem with singular coefficients involving the p(x)-Laplacian

被引：2

作者：

Dai, Guowei ^{[1
]}

Ma, Ruyun ^{[1
]}

Ma, Qiaozhen ^{[1
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2012年

关键词：

p(x)-Laplacian; differential inclusion; singularity; VARIABLE EXPONENT; CRITICAL-POINTS; SPACES; FUNCTIONALS; LEBESGUE;

D O I：

10.1186/1687-2770-2012-11

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the non-smooth critical point theory we investigate the existence and multiplicity of solutions for a differential inclusion problem with singular coefficients involving the p(x)-Laplacian.

引用

页码：1 / 15

页数：15

共 39 条

[1]

[Anonymous], 2003, Fract. Calc. Appl. Anal.

[2]

[Anonymous], 2000, KODAI MATH J

[3]

Antontsev S.N., 2006, Ann. Univ. Ferrara. Sez., VVII, P19, DOI [DOI 10.1007/S11565-006-0002-9, 10.1007/s11565-006-0002-9]

[4] A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions [J].

Antontsev, SN ;

Shmarev, SI .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (03) :515-545

[5]

Azorero JPG, 1998, J DIFFER EQUATIONS, V144, P441

[6] VARIATIONAL-METHODS FOR NON-DIFFERENTIABLE FUNCTIONALS AND THEIR APPLICATIONS TO PARTIAL-DIFFERENTIAL EQUATIONS [J].

CHANG, KC .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (01) :102-129

[7] Variable exponent, linear growth functionals in image restoration [J].

Chen, Yunmei ;

Levine, Stacey ;

Rao, Murali .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2006, 66 (04) :1383-1406

[8]

Clarke F. H., 1990, Optimization and Nonsmooth Analysis, DOI DOI 10.1137/1.9781611971309

[9]

Dai G, 2012, ACTA MATH SCI A, V32, P1

[10]

Dai G, 2012, ACTA MATH SCI A, V32, P18

← 1 2 3 4 →