An extension of a multiplicity theorem by Ricceri with an application to a class of quasilinear equations

Studia Mathematica

Volumn 172, Issue 3, 2006, Pages 275-287

  Faraci, Francesca ^a,b   Iannizzotto, Antonio ^a  

^a University of Catania ^*

^b UNIVERSITY OF CATANIA   (Italy)

Author keywords

Convexity; Critical points; Nonlinear equations; p Laplacian

Indexed keywords

EID: 33744990600     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm172-3-5     Document Type: Article

References (7)

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3. P. Pucci and J. Serrin, A mountain pass theorem, J. Differential Equations 60 (1985), 142-149.
4. B. Ricceri, A further improvement of a minimax theorem of Borenshtein and Shul′-man, J. Nonlinear Convex Anal. 2 (2001), 279-283.
5. _, A general multiplicity theorem for certain nonlinear equations in Hilbert spaces, Proc. Amer. Math. Soc. 133 (2005), 3255-3261.
6. I. G. Tsar'kov, Nonunique solvability of certain differential equations and their connection with geometric approximation theory, Math. Notes 75 (2004), 259-271.
7. E. Zeidler, Nonlinear Functional Analysis and its Applications, Vol. III, Springer, 1985.