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Physical Sciences and Engineering Mathematics Analysis

On a Robin problem with indefinite weight and asymmetric reaction superlinear at +∞

Article ID Journal Published Year Pages File Type
4613922 Journal of Mathematical Analysis and Applications 2016 23 Pages PDF
Abstract

The existence of at least three nontrivial smooth solutions to a semilinear Robin problem with indefinite potential and asymmetric nonlinearity super-linear at +∞ is established. Both crossing and resonance are allowed. Proofs exploit variational methods, truncation techniques, and Morse theory.

Keywords
Multiple solutionsResonanceRobin problemAsymmetric reactionIndefinite potential
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
On a Robin problem with indefinite weight and asymmetric reaction superlinear at +∞
Authors
Salvatore A. Marano, Nikolaos S. Papageorgiou,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Multiple solutions
Resonance
Robin problem
Asymmetric reaction
Indefinite potential
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