Supercritical biharmonic elliptic problems in domains with small holes

DOI10.1002/mana.200610814zbMath1187.35047OpenAlexW2074934831MaRDI QIDQ3655597

Yuxia Guo, Wei, Juncheng

Publication date: 8 January 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610814

zbMATH Keywords

biharmonic problemsupercritical exponentdomain with a small hole

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for higher-order elliptic equations (35J40) Biochemistry, molecular biology (92C40) A priori estimates in context of PDEs (35B45)

Related Items (9)

Positive solutions for biharmonic equations: existence, uniqueness and multiplicity ⋮ Nontrivial solutions for the polyharmonic problem: existence, multiplicity and uniqueness ⋮ Positive solutions for a class of biharmonic problems: existence, nonexistence and multiplicity ⋮ Positive solutions for a class of biharmonic equations: existence and uniqueness ⋮ Positive solutions of biharmonic elliptic problems with a parameter ⋮ Unnamed Item ⋮ Uniqueness and asymptotic behavior of solutions of a biharmonic equation with supercritical exponent ⋮ Liouville type results for semilinear biharmonic problems in exterior domains ⋮ Positive supersolutions of fourth-order nonlinear elliptic equations: explicit estimates and Liouville theorems

Cites Work

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• Supercritical elliptic problems in domains with small holes
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• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

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