The Wente Problem Associated to the Modified Helmholtz Operator on Weighted Sobolev Spaces

Ines Ben Omrane; Mohamed Jleli; Bessem Samet

doi:10.1515/ans-2010-0403

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The Wente Problem Associated to the Modified Helmholtz Operator on Weighted Sobolev Spaces

Journal article

Peer reviewed

The Wente Problem Associated to the Modified Helmholtz Operator on Weighted Sobolev Spaces

Ines Ben Omrane, Mohamed Jleli and Bessem Samet

Advanced nonlinear studies, Vol.10(4), pp.771-788

01/11/2010

DOI: https://doi.org/10.1515/ans-2010-0403

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

In this paper, we give a weighted version of regularity of solutions of the Wente problem associated to the modified Helmholtz operator -Delta + aI, where a is a positive constant.

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Title: The Wente Problem Associated to the Modified Helmholtz Operator on Weighted Sobolev Spaces
Creators - without role: Ines Ben Omrane - Tunis University
Mohamed Jleli - King Saud University
Bessem Samet - Tunis University
Publication Details: Advanced nonlinear studies, Vol.10(4), pp.771-788
Publisher: ADVANCED NONLINEAR STUDIES, INC
Number of pages: 18
Grant note: Math/2010/14 / King Saud University, Deanship of Sientific Research, College of Science-Research center; King Saud University
Identifiers: 9916603508331
Academic Unit: Imam Mohammad Ibn Saud Islamic University (IMSIU); King Saud University
Language: English
Resource Type: Journal article