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
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spelling todo:paper_0362546X_v54_n7_p1205_DeNapoli2023-10-03T15:27:17Z Mountain pass solutions to equations of p-Laplacian type De Nápoli, P. Mariani, M.C. Clarkson inequality Mountain pass Theorem Multiple solutions p-Laplacian Uniform convexity Linear equations Problem solving Set theory Theorem proving Clarkson inequality Nonlinear systems 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. Fil:De Nápoli, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mariani, M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0362546X_v54_n7_p1205_DeNapoli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Clarkson inequality
Mountain pass Theorem
Multiple solutions
p-Laplacian
Uniform convexity
Linear equations
Problem solving
Set theory
Theorem proving
Clarkson inequality
Nonlinear systems
spellingShingle Clarkson inequality
Mountain pass Theorem
Multiple solutions
p-Laplacian
Uniform convexity
Linear equations
Problem solving
Set theory
Theorem proving
Clarkson inequality
Nonlinear systems
De Nápoli, P.
Mariani, M.C.
Mountain pass solutions to equations of p-Laplacian type
topic_facet Clarkson inequality
Mountain pass Theorem
Multiple solutions
p-Laplacian
Uniform convexity
Linear equations
Problem solving
Set theory
Theorem proving
Clarkson inequality
Nonlinear systems
description 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.
format JOUR
author De Nápoli, P.
Mariani, M.C.
author_facet De Nápoli, P.
Mariani, M.C.
author_sort De Nápoli, P.
title Mountain pass solutions to equations of p-Laplacian type
title_short Mountain pass solutions to equations of p-Laplacian type
title_full Mountain pass solutions to equations of p-Laplacian type
title_fullStr Mountain pass solutions to equations of p-Laplacian type
title_full_unstemmed Mountain pass solutions to equations of p-Laplacian type
title_sort mountain pass solutions to equations of p-laplacian type
url http://hdl.handle.net/20.500.12110/paper_0362546X_v54_n7_p1205_DeNapoli
work_keys_str_mv AT denapolip mountainpasssolutionstoequationsofplaplaciantype
AT marianimc mountainpasssolutionstoequationsofplaplaciantype
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