Mountain pass solutions to equations of p-Laplacian type

This work is devoted to study the existence of solutions to equations of p-Laplacian type. We prove the existence of at least one solution, and under further assumptions, the existence of infinitely many solutions. In order to apply mountain pass results, we introduce a notion of uniformly convex fu...

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Detalles Bibliográficos
Autores principales: De Nápoli, P., Mariani, M.C.
Formato: JOUR
Materias:
Clarkson inequality
Mountain pass Theorem
Multiple solutions
p-Laplacian
Uniform convexity
Linear equations
Problem solving
Set theory
Theorem proving
Nonlinear systems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0362546X_v54_n7_p1205_DeNapoli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:This work is devoted to study the existence of solutions to equations of p-Laplacian type. We prove the existence of at least one solution, and under further assumptions, the existence of infinitely many solutions. In order to apply mountain pass results, we introduce a notion of uniformly convex functional that generalizes the notion of uniformly convex norm. © 2003 Elsevier Ltd. All rights reserved.

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