scholarly journals Nodal solutions for noncoercive nonlinear Neumann problems with indefinite potential

2017 ◽  
Vol 71 ◽  
pp. 67-73 ◽  
Author(s):  
Tieshan He ◽  
Yehui Huang ◽  
Kaihao Liang ◽  
Youfa Lei
Keyword(s):  
Nodal Solutions ◽  
Neumann Problems ◽  
Indefinite Potential ◽  
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

Nodal Solutions for Nonlinear Non-Homogeneous Robin Problems with an Indefinite Potential

2018 ◽  
Vol 61 (4) ◽  
pp. 943-959 ◽  
Author(s):  
Leszek Gasiński ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Differential Operator ◽  
Mountain Pass Theorem ◽  
Mountain Pass ◽  
Reaction Function ◽  
Robin Problem ◽  
Nodal Solutions ◽  
Potential Term ◽  
Symmetric Mountain Pass Theorem ◽  
Indefinite Potential ◽  
Concave Term

AbstractWe consider a nonlinear Robin problem driven by a non-homogeneous differential operator plus an indefinite potential term. The reaction function is Carathéodory with arbitrary growth near±∞. We assume that it is odd and exhibits a concave term near zero. Using a variant of the symmetric mountain pass theorem, we establish the existence of a sequence of distinct nodal solutions which converge to zero.

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
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