Multiple solutions for p-Laplacian type equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 68, Issue 5, 2008, Pages 1375-1381

  Kristály, Alexandru ^a   Lisei, Hannelore ^a   Varga, Csaba ^a  

^a BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

(p 1) Sublinearity at infinity; Divergence type operator; Multiple solutions; p Laplacian

Indexed keywords

(P - 1)-SUBLINEARITY AT INFINITY; CRITICAL POINTS; CRITICAL POINTS THEOREM; DIVERGENCE FORM; DIVERGENCE TYPE OPERATOR; ELLIPTIC OPERATOR; MOUNTAIN PASS; MULTIPLE SOLUTIONS; NON-LINEARITY; NONLINEAR TERMS; P-LAPLACIAN; P-LAPLACIAN OPERATOR; SUBLINEAR GROWTH; SUPERLINEAR GROWTH; WEAK SOLUTION;

CONTROL NONLINEARITIES; EQUATIONS OF STATE; LAPLACE EQUATION; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; NONLINEAR ANALYSIS; THEOREM PROVING;

NONLINEAR EQUATIONS;

EID: 43049112839     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.12.031     Document Type: Article

References (7)

1. Bonanno G. Some remarks on a three critical points theorem. Nonlinear Analysis 54 (2003) 651-665
2. Brézis H., and Oswald L. Remarks on sublinear elliptic equations. Nonlinear Analysis 10 (1986) 55-64
3. Duc D.M., and Vu N.T. Nonuniformly elliptic equations of p-Laplacian type. Nonlinear Analysis 61 (2005) 1483-1495
4. De Nápoli P., and Mariani M.C. Mountain pass solutions to equations of p-Laplacian type. Nonlinear Analysis 54 (2003) 1205-1219
5. Lin S.S. On the number of positive solutions for nonlinear elliptic equations when a parameter is large. Nonlinear Analysis 16 (1991) 283-297
6. Ricceri B. On a three critical points theorem. Archiv der Mathematik (Basel) 75 (2000) 220-226
7. Ricceri B. Existence of three solutions for a class of elliptic eigenvalue problems. Mathematical and Computer Modelling 32 (2000) 1485-1494