On a class of PDE involving \(p\)-biharmonic operator

DOI10.5402/2011/630745zbMath1231.35066OpenAlexW2114667016WikidataQ58689890 ScholiaQ58689890MaRDI QIDQ642849

Abdelouahed El Khalil

Publication date: 27 October 2011

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2011/630745

zbMATH Keywords

weak solutioneigenvalueenergy functionalcritical Sobolev exponent\(p\)-biharmonic operator

Mathematics Subject Classification ID

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

Related Items (1)

The fractional \(p\)-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems

Cites Work

• Ljusternik-Schnirelmann theory on \(C^ 1\)-manifolds
• Dual variational methods in critical point theory and applications
• A nonlinear boundary problem involving the \(p\)-bi-Laplacian operator
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