Nonlinear elliptic problem involving non-local boundary conditions and variable exponent

2017 ◽  
Vol 63 (3) ◽  
pp. 437-461
Author(s):  
Stanislas Ouaro ◽  
Safimba Soma
Keyword(s):  
Boundary Conditions ◽  
Elliptic Problem ◽  
Variable Exponent ◽  
Nonlinear Elliptic Problem ◽  
Local Boundary ◽  
Nonlinear Elliptic ◽  
Non Local

Elliptic problem involving non-local boundary conditions

2019 ◽  
Vol 181 ◽  
pp. 87-100
Author(s):  
Noureddine Igbida ◽  
Soma Safimba
Keyword(s):  
Boundary Conditions ◽  
Elliptic Problem ◽  
Local Boundary ◽  
Non Local

scholarly journals Existence result for a nonlinear elliptic problem by topological degree in Sobolev spaces with variable exponent

2021 ◽  
Vol 7 (1) ◽  
pp. 50-65
Author(s):  
Mustapha Ait Hammou ◽  
Elhoussine Azroul
Keyword(s):  
Sobolev Spaces ◽  
Elliptic Problem ◽  
Topological Degree ◽  
Variable Exponent ◽  
Existence Of Solutions ◽  
Nonlinear Elliptic Problem ◽  
Technical Approach ◽  
Nonlinear Elliptic ◽  
Variable Exponent Sobolev Spaces ◽  
Topological Degree Method

AbstractThe aim of this paper is to establish the existence of solutions for a nonlinear elliptic problem of the form\left\{ {\matrix{{A\left( u \right) = f} \hfill & {in} \hfill & \Omega \hfill \cr {u = 0} \hfill & {on} \hfill & {\partial \Omega } \hfill \cr } } \right.where A(u) = −diva(x, u, ∇u) is a Leray-Lions operator and f ∈ W−1,p′(.)(Ω) with p(x) ∈ (1, ∞). Our technical approach is based on topological degree method and the theory of variable exponent Sobolev spaces.

scholarly journals The Brezis–Oswald Result for Quasilinear Robin Problems

2016 ◽  
Vol 16 (3) ◽  
Author(s):  
Genni Fragnelli ◽  
Dimitri Mugnai ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Differential Operator ◽  
Boundary Conditions ◽  
Elliptic Problem ◽  
Robin Boundary Conditions ◽  
Nonlinear Elliptic Problem ◽  
Reaction Term ◽  
Nonhomogeneous Differential Operator ◽  
Nonlinear Elliptic ◽  
Robin Boundary

AbstractIn this paper we consider a nonlinear elliptic problem driven by a nonhomogeneous differential operator with Robin boundary conditions. We produce conditions on the reaction term near

scholarly journals Nonlinear elliptic anisotropic problem involving non-local boundary conditions with variable exponent and graph data

2020 ◽  
Vol 29 (2) ◽  
pp. 145-152
Author(s):  
ADAMA KABORE ◽  
STANISLAS OUARO
Keyword(s):  
Existence And Uniqueness ◽  
Variable Exponent ◽  
Maximal Monotone ◽  
Local Conditions ◽  
Graph Data ◽  
Local Boundary ◽  
Nonlinear Elliptic ◽  
Maximal Monotone Graph ◽  
Non Local ◽  
Monotone Graph

We study a nonlinear elliptic anisotropic problem involving non-local conditions. We also consider variable exponent and general maximal monotone graph datum at the boundary. We prove the existence and uniqueness of weak solution to the problem.

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