Nonuniformly elliptic equations of p-Laplacian type

Nonlinear Analysis, Theory, Methods and Applications

Volumn 61, Issue 8, 2005, Pages 1483-1495

  Duc, Duong Minh ^a   Vu, Nguyen Thanh ^a  

^a VIETNAM NATIONAL UNIVERSITY   (Viet Nam)

Author keywords

Nontrivial solution; Nonuniform elliptic equations; p Laplacian

Indexed keywords

BOUNDARY CONDITIONS; FUNCTION EVALUATION; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

NONTRIVIAL SOLUTION; NONUNIFORM ELLIPTIC EQUATIONS; P-LAPLACIAN;

NONLINEAR EQUATIONS;

EID: 18444395285     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.02.049     Document Type: Article

References (10)

1. R.A. Adams Sobolev Spaces 1975 Academic Press London
2. D. Arcoya, and L. Orsina Landesman-Lazer conditions and quasilinear elliptic equations Nonlinear Anal. Theory Methods Appl. 28 1997 1623 1632
3. Ph. Clement, M. Garcia-Huidobro, R. Manasevich, and K. Schmitt Mountain pass type solutions for quasilinear elliptic equations Calc. Var. Partial Differential Equations 11 2000 33 62
4. D.G. Costa, and C.A. Magalhaes Existence results for perturbations of the p-Laplacian Nonlinear Anal. Theory Methods Appl. 24 1995 409 418
5. P. De Nápoli, and M.C. Mariani Mountain pass solutions to equations of p-Laplacian type Nonlinear Anal. 54 2003 1205 1219
6. G. Dinca, P. Jebelean, and J. Mawhin Variational and topological methods for Dirichlet problems with p-Laplacian Protugaliae Math. 58 2001 340 377
7. D.M. Duc Nonlinear singular elliptic equations J. London Math. Soc. (2) 40 1989 420 440
8. E. Giusti Direct Methods in the Calculus of Variations 2003 World Scientific New Jersey
9. M. Struwe Variational Methods 1996 Springer New York
10. B. Xuan, The solvability of Brezis-Nirenberg type problems of singular quasilinear elliptic equation, preprint (arXiv: Math.AP/0403549v1 31 March 2004).