Lyapunov-type inequalities for partial differential equations

In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in N-dimensional domains Ω. We also consider singular and degenerate elliptic problems with Ap coefficients involving the p-Laplace operator with zero Dirichlet boundary condition.As an applicati...

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Autores principales: De Napoli, Pablo Luis, Pinasco, Juan Pablo
Publicado: 2016
Materias:
Eigenvalues bounds
Lyapunov inequality
P-Laplace operator
Sobolev spaces
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v270_n6_p1995_deNapoli
http://hdl.handle.net/20.500.12110/paper_00221236_v270_n6_p1995_deNapoli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00221236_v270_n6_p1995_deNapoli
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spelling paper:paper_00221236_v270_n6_p1995_deNapoli2023-06-08T14:46:27Z Lyapunov-type inequalities for partial differential equations De Napoli, Pablo Luis Pinasco, Juan Pablo Eigenvalues bounds Lyapunov inequality P-Laplace operator Sobolev spaces In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in N-dimensional domains Ω. We also consider singular and degenerate elliptic problems with Ap coefficients involving the p-Laplace operator with zero Dirichlet boundary condition.As an application of the inequalities obtained, we derive lower bounds for the first eigenvalue of the p-Laplacian, and compare them with the usual ones in the literature. © 2016 Elsevier Inc. Fil:de Nápoli, P.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v270_n6_p1995_deNapoli http://hdl.handle.net/20.500.12110/paper_00221236_v270_n6_p1995_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 Eigenvalues bounds
Lyapunov inequality
P-Laplace operator
Sobolev spaces
spellingShingle Eigenvalues bounds
Lyapunov inequality
P-Laplace operator
Sobolev spaces
De Napoli, Pablo Luis
Pinasco, Juan Pablo
Lyapunov-type inequalities for partial differential equations
topic_facet Eigenvalues bounds
Lyapunov inequality
P-Laplace operator
Sobolev spaces
description In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in N-dimensional domains Ω. We also consider singular and degenerate elliptic problems with Ap coefficients involving the p-Laplace operator with zero Dirichlet boundary condition.As an application of the inequalities obtained, we derive lower bounds for the first eigenvalue of the p-Laplacian, and compare them with the usual ones in the literature. © 2016 Elsevier Inc.
author De Napoli, Pablo Luis
Pinasco, Juan Pablo
author_facet De Napoli, Pablo Luis
Pinasco, Juan Pablo
author_sort De Napoli, Pablo Luis
title Lyapunov-type inequalities for partial differential equations
title_short Lyapunov-type inequalities for partial differential equations
title_full Lyapunov-type inequalities for partial differential equations
title_fullStr Lyapunov-type inequalities for partial differential equations
title_full_unstemmed Lyapunov-type inequalities for partial differential equations
title_sort lyapunov-type inequalities for partial differential equations
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v270_n6_p1995_deNapoli
http://hdl.handle.net/20.500.12110/paper_00221236_v270_n6_p1995_deNapoli
work_keys_str_mv AT denapolipabloluis lyapunovtypeinequalitiesforpartialdifferentialequations
AT pinascojuanpablo lyapunovtypeinequalitiesforpartialdifferentialequations
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