Entropy solution for doubly nonlinear elliptic anisotropic problems with Fourier boundary conditions

Idrissa Ibrango; Stanislas Ouaro

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2015)

  • Volume: 35, Issue: 2, page 123-150
  • ISSN: 1509-9407

Abstract

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The goal of this paper is to study nonlinear anisotropic problems with Fourier boundary conditions. We first prove, by using the technic of monotone operators in Banach spaces, the existence of weak solutions, and by approximation methods, we prove a result of existence and uniqueness of entropy solution.

How to cite

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Idrissa Ibrango, and Stanislas Ouaro. "Entropy solution for doubly nonlinear elliptic anisotropic problems with Fourier boundary conditions." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 35.2 (2015): 123-150. <http://eudml.org/doc/276704>.

@article{IdrissaIbrango2015,
abstract = {The goal of this paper is to study nonlinear anisotropic problems with Fourier boundary conditions. We first prove, by using the technic of monotone operators in Banach spaces, the existence of weak solutions, and by approximation methods, we prove a result of existence and uniqueness of entropy solution.},
author = {Idrissa Ibrango, Stanislas Ouaro},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {anisotropic Sobolev spaces; variable exponent; monotone operator; Fourier boundary conditions; entropy solutions},
language = {eng},
number = {2},
pages = {123-150},
title = {Entropy solution for doubly nonlinear elliptic anisotropic problems with Fourier boundary conditions},
url = {http://eudml.org/doc/276704},
volume = {35},
year = {2015},
}

TY - JOUR
AU - Idrissa Ibrango
AU - Stanislas Ouaro
TI - Entropy solution for doubly nonlinear elliptic anisotropic problems with Fourier boundary conditions
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2015
VL - 35
IS - 2
SP - 123
EP - 150
AB - The goal of this paper is to study nonlinear anisotropic problems with Fourier boundary conditions. We first prove, by using the technic of monotone operators in Banach spaces, the existence of weak solutions, and by approximation methods, we prove a result of existence and uniqueness of entropy solution.
LA - eng
KW - anisotropic Sobolev spaces; variable exponent; monotone operator; Fourier boundary conditions; entropy solutions
UR - http://eudml.org/doc/276704
ER -

References

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