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Regular positive solutions to p-Laplacian systems on unbounded domain

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Publication:2925271
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DOI10.1142/S1793557114500351zbMath1302.35164MaRDI QIDQ2925271

Abdelaziz Ahammou, Khalid Iskafi

Publication date: 21 October 2014

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

mountain pass theorem\(p\)-Laplacian operatorLeray-Schauder's fixed point theoremsub-super-solutions


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Positive solutions to PDEs (35B09) Higher-order elliptic systems (35J48)


Related Items

Ground state solution for quasi-linear elliptic systems with general source terms on unbounded domain ⋮ General and weak sufficient condition for Hamiltonian systems



Cites Work

  • Regularity for a more general class of quasilinear equations
  • Some boundary value problems for the Bingham model
  • \(S\)-shaped bifurcation branch in a quasilinear multivalued model arising in climatology
  • Introduction à la théorie des points critiques et applications aux problèmes elliptiques
  • MULTIPLICITY RESULT FOR CRITICAL P–LAPLACIAN SYSTEMS WITH SINGULAR POTENTIAL
  • On some boundary value problems for the equation ∇ • ( F (|∇ w |)∇ w ) = 0
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