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On a Paneitz type equation in six dimensional domains

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Abstract

In this paper, we consider the equation {delta}{sup 2}u = Ku{sup 5}, u > 0 in {omega}, u = {delta}u = 0 on {partial_derivative}{omega}, where K is a positive function and {omega} is a bounded and smooth domain in R{sup 6}. Using the theory of critical points at infinity, we give some topological conditions on K to ensure some existence results. (author)
Authors:
Chtioui, Hichem; [1]  El Mehdi, Khalil; [2]  . E-mail: khalil@univ-nkc.mr; [3]  it, elmehdik@ictp trieste
  1. Departement de Mathematiques, Faculte des Sciences de Sfax, Route Soukra, Sfax (Tunisia)
  2. Faculte des Sciences et Techniques, Universite de Nouakchott, Nouakchott (Morocco)
  3. Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
Publication Date:
Sep 01, 2003
Product Type:
Technical Report
Report Number:
IC-2003/110
Resource Relation:
Other Information: 32 refs; PBD: Sep 2003
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY CONDITIONS; FUNCTIONALS; GREEN FUNCTION; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; RIEMANN SPACE; SMOOTH MANIFOLDS; TOPOLOGY
OSTI ID:
20438979
Research Organizations:
Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
TRN: XA0304377019658
Availability:
Available from INIS in electronic form; Available at: http://www.ictp.trieste.it/
Submitting Site:
INIS
Size:
17 pages
Announcement Date:
Mar 23, 2004

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Citation Formats

Chtioui, Hichem, El Mehdi, Khalil, . E-mail: khalil@univ-nkc.mr, and it, elmehdik@ictp trieste. On a Paneitz type equation in six dimensional domains. IAEA: N. p., 2003. Web.
Chtioui, Hichem, El Mehdi, Khalil, . E-mail: khalil@univ-nkc.mr, & it, elmehdik@ictp trieste. On a Paneitz type equation in six dimensional domains. IAEA.
Chtioui, Hichem, El Mehdi, Khalil, . E-mail: khalil@univ-nkc.mr, and it, elmehdik@ictp trieste. 2003. "On a Paneitz type equation in six dimensional domains." IAEA.
@misc{etde_20438979,
title = {On a Paneitz type equation in six dimensional domains}
 author = {Chtioui, Hichem, El Mehdi, Khalil, . E-mail: khalil@univ-nkc.mr, and it, elmehdik@ictp trieste}
 abstractNote = {In this paper, we consider the equation {delta}{sup 2}u = Ku{sup 5}, u > 0 in {omega}, u = {delta}u = 0 on {partial_derivative}{omega}, where K is a positive function and {omega} is a bounded and smooth domain in R{sup 6}. Using the theory of critical points at infinity, we give some topological conditions on K to ensure some existence results. (author)}
 place = {IAEA}
 year = {2003}
 month = {Sep}
 }