One dimensional φ-Laplacian functional equations

Donal O'Regan; Juan Perán

doi:10.1016/j.jmaa.2010.05.019

One dimensional φ-Laplacian functional equations

Donal O'Regan, Juan Perán

Mathematics

Universidad Nacional de Educación a Distancia (UNED)

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper we study functional φ-Laplacian equations with functional boundary conditions. The non-linearity belongs to a class of completely continuous operators, which includes Carathéodory ones, while the functional boundary conditions are given by compactly-fixed operators. We extend, in particular, a solvability result of C. Bereanu and J. Mawhin.

Original language	English
Pages (from-to)	177-183
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	371
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2010.05.019
Publication status	Published - 1 Nov 2010

Keywords

Lower solutions
Upper solutions
φ-Laplacian

Authors (Note for portal: view the doc link for the full list of authors)

Authors
O'Regan, D;Peran, J
O'Regan, D,Peran, J

Access to Document

10.1016/j.jmaa.2010.05.019

Cite this

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abstract = "In this paper we study functional φ-Laplacian equations with functional boundary conditions. The non-linearity belongs to a class of completely continuous operators, which includes Carath{\'e}odory ones, while the functional boundary conditions are given by compactly-fixed operators. We extend, in particular, a solvability result of C. Bereanu and J. Mawhin.",

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AU - Perán, Juan

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N2 - In this paper we study functional φ-Laplacian equations with functional boundary conditions. The non-linearity belongs to a class of completely continuous operators, which includes Carathéodory ones, while the functional boundary conditions are given by compactly-fixed operators. We extend, in particular, a solvability result of C. Bereanu and J. Mawhin.

AB - In this paper we study functional φ-Laplacian equations with functional boundary conditions. The non-linearity belongs to a class of completely continuous operators, which includes Carathéodory ones, while the functional boundary conditions are given by compactly-fixed operators. We extend, in particular, a solvability result of C. Bereanu and J. Mawhin.

KW - Lower solutions

KW - Upper solutions

KW - φ-Laplacian

UR - https://www.scopus.com/pages/publications/77954143292

U2 - 10.1016/j.jmaa.2010.05.019

DO - 10.1016/j.jmaa.2010.05.019

M3 - Article

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

One dimensional φ-Laplacian functional equations

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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