scholarly journals A density result for Sobolev spaces in dimension two, and applications to stability of nonlinear Neumann problems

2007 ◽  
Vol 237 (1) ◽  
pp. 27-60 ◽  
Author(s):  
Alessandro Giacomini ◽  
Paola Trebeschi
Keyword(s):  
Sobolev Spaces ◽  
Neumann Problems ◽  
Density Result ◽  
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 Poincaré Inequalities and Neumann Problems for the p-Laplacian

2018 ◽  
Vol 61 (4) ◽  
pp. 738-753 ◽  
Author(s):  
David Cruz-Uribe ◽  
Scott Rodney ◽  
Emily Rosta
Keyword(s):  
Quadratic Form ◽  
Neumann Problem ◽  
Sobolev Spaces ◽  
Weak Solutions ◽  
Poincaré Inequalities ◽  
Existence Of Weak Solutions ◽  
Neumann Problems ◽  
Poincare Inequalities ◽  
Associated Matrix ◽  
Weighted Poincaré Inequalities

AbstractWe prove an equivalence between weighted Poincaré inequalities and the existence of weak solutions to a Neumann problem related to a degenerate p-Laplacian. The Poincaré inequalities are formulated in the context of degenerate Sobolev spaces defined in terms of a quadratic form, and the associated matrix is the source of the degeneracy in the p-Laplacian.

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

A density result for fractional Sobolev spaces

2016 ◽  
pp. 43-62
Author(s):  
Giovanni Molica Bisci ◽  
Vicentiu D. Radulescu ◽  
Raffaella Servadei
Keyword(s):  
Sobolev Spaces ◽  
Fractional Sobolev Spaces ◽  
Density Result

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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