Nonexistence and uniqueness for biharmonic problems with supercritical growth and domain geometry.

zbMath1249.35089MaRDI QIDQ425268

Saïma Khenissy

Publication date: 7 June 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

biharmonic equationsupercritical growthRellich-Pohozaev type estimate

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Higher-order elliptic equations (35J30)

Related Items (9)

Biharmonic equations under Dirichlet boundary conditions with supercritical growth ⋮ 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 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 ⋮ Revisiting the biharmonic equation modelling electrostatic actuation in lower dimensions

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