Solutions positives de l'équation $- \Delta u = u^p + \mu u^q$ dans un domaine à trou

DOI10.5802/afst.713zbMath0734.35031OpenAlexW2055087940MaRDI QIDQ3361214

Rejeb Hadiji

Publication date: 1990

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1990_5_11_3_55_0

zbMATH Keywords

positive solutionsemilinear equationdomain with holecritical Sobolv exponent

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (5)

Existence of solutions of a non-linear eigenvalue problem with a variable weight ⋮ Problem with critical Sobolev exponent and with weight ⋮ A system with weights and with critical Sobolev exponent ⋮ A non-linear problem involving a critical Sobolev exponent ⋮ Positive solutions in semilinear critical problems for polyharmonic operators

Cites Work

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• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Convergence of solutions of H-systems or how to blow bubbles
• Holes and obstacles
• Little holes and convergence of solutions of −Δu = u(N + 2)⧸(N - 2)
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

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