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Multiplicity of Multi-Bump Type Nodal Solutions for A Class of Elliptic Problems with Exponential Critical Growth in ℝ2

Part of: Elliptic equations and systems Partial differential equations

Published online by Cambridge University Press:  25 October 2016

Claudianor O. Alves  and
Denilson S. Pereira
Claudianor O. Alves
Affiliation:
Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática (UAMat), CEP-58429-900, Campina Grande, PB, Brazil (coalvesbr@yahoo.com.br; denilsonsp@mat.ufcg.edu.br)
Denilson S. Pereira
Affiliation:
Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática (UAMat), CEP-58429-900, Campina Grande, PB, Brazil (coalvesbr@yahoo.com.br; denilsonsp@mat.ufcg.edu.br)
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Abstract

In this paper we establish the existence and multiplicity of multi-bump nodal solutions for the class of problems

where λ ∈ (0, ∞), f is a continuous function with exponential critical growth and V : ℝ2→ ℝ is a continuous function verifying some hypotheses.

Keywords

variational methodsexponential critical growthnodal solution

MSC classification

Secondary: 35A15: Variational methods 35J15: Second-order elliptic equations
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 60 , Issue 2 , May 2017 , pp. 273 - 297
Copyright
Copyright © Edinburgh Mathematical Society 2017 

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