Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-25T13:35:27.042Z Has data issue: false hasContentIssue false
  • English
  • Français

Superlinear elliptic problems under the non-quadraticity condition at infinity

Part of: Elliptic equations and systems

Published online by Cambridge University Press:  30 June 2015

Marcelo F. Furtado  and
Edcarlos D. Silva
Marcelo F. Furtado
Affiliation:
Departamento de Matemática, Universidade de Brasília, 70910-900 Brasília-DF, Brazil ([email protected])
Edcarlos D. Silva
Affiliation:
Instituto de Matemática e Estatística, Universidade Federal de Goiás, 74001-970 Goiânia-GO, Brazil ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We present some sufficient conditions to obtain compactness properties for the Euler–Lagrange functional of an elliptic equation. As an application, we extend some existence and multiplicity results for superlinear problems.

Keywords

elliptic equations; superlinear problemsnon-quadraticity conditionvariational methods

MSC classification

Primary: 35J20: Variational methods for second-order elliptic equations
Secondary: 35J60: Nonlinear elliptic equations
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 145 , Issue 4 , August 2015 , pp. 779 - 790
Copyright
Copyright © Royal Society of Edinburgh 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)