ON A CLASS OF FOURTH ORDER NONLINEAR ELLIPTIC EQUATIONS UNDER NAVIER BOUNDARY CONDITIONS-Reference-Cited by-同舟云学术

ON A CLASS OF FOURTH ORDER NONLINEAR ELLIPTIC EQUATIONS UNDER NAVIER BOUNDARY CONDITIONS

Published:2010-04 Issue:02 Volume:08 Page:185-197
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

CORRÊA F. J. S. A.¹,GONCALVES J. V.²,RONCALLI ANGELO¹

Affiliation:

1. Unidade Acadêmica de Matemática e Estatística, Centro de Ciências e Tecnologia, Universidade Federal de Campina Grande, 58.109-970, Campina Grande (PB), Brazil

2. Universidade de Brasília, Departamento de Matemática, 70910-900 Brasília (DF), Brazil

Abstract

We employ arguments involving continua of fixed points of suitable nonlinear compact operators and the Lyapunov–Schmidt method to prove existence and multiplicity of solutions in a class of fourth order non-homogeneous resonant elliptic problems. Our main result extends even similar ones known for the Laplacian.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530510001576

Reference26 articles.

1. Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance the case of the simple eigenvalue

2. Positivity preserving property for a class of biharmonic elliptic problems

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