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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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00221236_v270_n6_p1995_deNapoli |
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todo:paper_00221236_v270_n6_p1995_deNapoli2023-10-03T14:27:18Z Lyapunov-type inequalities for partial differential equations de Nápoli, P.L. Pinasco, J.P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Nápoli, P.L. Pinasco, J.P. 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. |
format |
JOUR |
author |
de Nápoli, P.L. Pinasco, J.P. |
author_facet |
de Nápoli, P.L. Pinasco, J.P. |
author_sort |
de Nápoli, P.L. |
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 |
url |
http://hdl.handle.net/20.500.12110/paper_00221236_v270_n6_p1995_deNapoli |
work_keys_str_mv |
AT denapolipl lyapunovtypeinequalitiesforpartialdifferentialequations AT pinascojp lyapunovtypeinequalitiesforpartialdifferentialequations |
_version_ |
1782029727724208128 |