Existence and uniqueness of solutions of an A-harmonic elliptic equation

Mouna Kratou

doi:10.1556/012.2019.56.1.1410

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 56: Issue 1

Existence and uniqueness of solutions of an A-harmonic elliptic equation

Author:

Mouna Kratou

Mouna Kratou College of Sciences at Dammam, Imam Abdulrahman Bin Faisal University, 31441 Dammam, Kingdom of Saudi Arabia

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Pages:: 13–21

Online Publication Date:: Mar 2019

Publication Date:: 01 Mar 2019

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/012.2019.56.1.1410

Keywords:: weak solutions; monotone operator; Browder Theorem

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Abstract

This paper deals with the existence and uniqueness of weak solution of a problem which involves a class of A-harmonic elliptic equations of nonhomogeneous type. Under appropriate assumptions on the function f, our main results are obtained by using Browder Theorem.

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Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

Online ISSN:: 1588-2896

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Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics)

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Imre BÁRÁNY (Rényi Institute of Mathematics)
Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
Péter CSIKVÁRI (ELTE, Budapest)
Joshua GREENE (Boston College)
Penny HAXELL (University of Waterloo)
Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
Satoru IWATA (University of Tokyo)
Tibor JORDÁN (ELTE, Budapest)
Roy MESHULAM (Technion, Haifa)
Frédéric MEUNIER (École des Ponts ParisTech)
Márton NASZÓDI (ELTE, Budapest)
Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
Gábor TARDOS (Rényi Institute of Mathematics)
Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
Language	English French German
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