On uniqueness question for nonlinear Neumann problems with variable exponent and L^1-data

2016 ◽  
Vol 10 ◽  
pp. 2505-2515
Author(s):  
Ahmed Jamea ◽  
Abderrahmane El Hachimi
Keyword(s):  
Variable Exponent ◽  
Neumann Problems ◽  
Uniqueness Question ◽  
Nonlinear Neumann Problems

Coercive and noncoercive nonlinear Neumann problems with indefinite potential

2016 ◽  
Vol 28 (3) ◽  
Author(s):  
Nikolaos S. Papageorgiou ◽  
Vicenţiu D. Rădulescu
Keyword(s):  
Differential Operator ◽  
Neumann Problems ◽  
Nonhomogeneous Differential Operator ◽  
Indefinite Potential ◽  
Nonlinear Neumann Problems

AbstractWe consider nonlinear Neumann problems driven by a nonhomogeneous differential operator and an indefinite potential. In this paper we are concerned with two distinct cases. We first consider the case where the reaction is (

scholarly journals Compatibility conditions for nonlinear Neumann problems

1991 ◽  
Vol 89 (2) ◽  
pp. 127-143 ◽  
Author(s):  
Giuseppe Buttazzo ◽  
Franco Tomarelli
Keyword(s):  
Compatibility Conditions ◽  
Neumann Problems ◽  
Nonlinear Neumann Problems

scholarly journals Anisotropic nonlinear Neumann problems

2011 ◽  
Vol 42 (3-4) ◽  
pp. 323-354 ◽  
Author(s):  
Leszek Gasiński ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Neumann Problems ◽  
Nonlinear Neumann Problems

Multiple Solutions for Nonlinear Neumann Problems with Asymmetric Reaction, via Morse Theory

2011 ◽  
Vol 11 (4) ◽  
Author(s):  
Leszek Gasiński ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Variational Methods ◽  
Neumann Problem ◽  
Morse Theory ◽  
Multiple Solutions ◽  
Smooth Solutions ◽  
Asymmetric Reaction ◽  
Neumann Problems ◽  
Nonlinear Neumann Problem ◽  
Asymmetric Behaviour ◽  
Nonlinear Neumann Problems

AbstractWe consider a nonlinear Neumann problem driven by the p-Laplacian and with a reaction which exhibits an asymmetric behaviour near +∞ and near −∞. Namely, it is (p − 1)- superlinear near +∞ (but need not satisfy the Ambrosetti-Rabinowitz condition) and it is (p − 1)-linear near −∞. Combining variational methods with Morse theory, we show that the problem has at least three nontrivial smooth solutions.

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