Multiple solutions for the p(x)-Laplacian problem involving critical growth with a parameter

被引:1
作者
Yang, Yang [1 ]
Zhang, Jihui [2 ]
Shang, Xudong [3 ]
机构
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210097, Jiangsu, Peoples R China
[3] Nanjing Normal Univ, Sch Math, Taizhou Coll, Taizhou 225300, Peoples R China
关键词
p(x)-Laplacian problem; critical Sobolev exponents concentration-compactness principle; ELLIPTIC PROBLEMS; EXISTENCE; SPACES;
D O I
10.1186/1687-2770-2013-223
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By energy estimates and establishing a local (PS)(c) condition, existence of solutions for the p(x)-Laplacian problem involving critical growth in a bounded domain is obtained via the variational method under the presence of symmetry.
引用
收藏
页数:12
相关论文
共 25 条
[1]   Existence and multiplicity of solutions for a p(x)-Laplacian equation with critical growth [J].
Alves, Claudianor O. ;
Barreiro, Jose L. P. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 403 (01) :143-154
[2]  
Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
[3]   Models for growth of heterogeneous sandpiles via Mosco convergence [J].
Bocea, M. ;
Mihailescu, M. ;
Perez-Llanos, M. ;
Rossi, J. D. .
ASYMPTOTIC ANALYSIS, 2012, 78 (1-2) :11-36
[4]   On the asymptotic behavior of variable exponent power-law functionals and applications [J].
Bocea M. ;
Mihăilescu M. ;
Popovici C. .
Ricerche di Matematica, 2010, 59 (2) :207-238
[5]   Γ-convergence of power-law functionals with variable exponents [J].
Bocea, Marian ;
Mihailescu, Mihai .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (01) :110-121
[6]   Existence and multiplicity results for elliptic problems with p(.)-Growth conditions [J].
Boureanu, Maria-Magdalena ;
Udrea, Diana Nicoleta .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (04) :1829-1844
[7]   Infinitely many solutions for elliptic problems with variable exponent and nonlinear boundary conditions [J].
Boureanu, Maria-Magdalena ;
Preda, Felician .
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2012, 19 (02) :235-251
[8]   Existence of solutions for p(x)-Laplacian problems on a bounded domain [J].
Chabrowski, J ;
Fu, YQ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 306 (02) :604-618
[9]   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
[10]   Infinitely many positive solutions for a p(x)-Kirchhoff-type equation [J].
Dai, Guowei ;
Liu, Duchao .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (02) :704-710