Infinitely many solutions for the Dirichlet problem involving the p-Laplacian

Nonlinear Analysis, Theory, Methods and Applications

Volumn 61, Issue 1-2, 2005, Pages 41-49

  Cammaroto, F ^a   Chinni A ^a   Di Bella, B ^a  

^a UNIVERSITY OF MESSINA   (Italy)

Author keywords

Dirichlet problem; Multiple solutions; p Laplacian

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONS; LAPLACE TRANSFORMS; NONLINEAR EQUATIONS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING; TOPOLOGY;

DIRICHLET PROBLEMS; MULTIPLE SOLUTIONS; P-LAPLACIAN; VARIATIONAL PRINCIPLES;

VARIATIONAL TECHNIQUES;

EID: 14544289072     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.11.009     Document Type: Article

References (7)

1. G. Dinca, P. Jebelean, and J. Mawhin Variational and topological methods for Dirichlet problems with p-Laplacian Port. Math. (N.S.) 58 2001 339 378
2. M.L.C. Fernandes On a elementary phase-plane analysis for solving second order BVP's Ricerche. Mat. 37 1988 189 202
3. p-1 at infinity J. London Math. Soc. 65 2 2002 123 138
4. P. Omari, and F. Zanolin Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential Commun. Partial Differential Equations 21 5-6 1996 721 733
5. P. Omari, and F. Zanolin An elliptic problem with arbitrarily small positive solutions Nonlinear Differential Equations Electron. J. Differential Equations Conf. 05 2000 301 308
6. B. Ricceri A general variational principle and some of its applications J. Comput. Appl. Math. 113 2000 401 410
7. J. Saint Raymond On the multiplicity of the solutions of the equation - Δu = λf(u)J. Differential Equations 180 2002 65 88