Higher-order functional inequalities related to the clamped 1-biharmonic operator

DOI10.1007/s10231-014-0447-xzbMath1346.46028OpenAlexW2063059499MaRDI QIDQ893378

Cristina Tarsi, Enea Parini, Bernhard Ruf

Publication date: 19 November 2015

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-014-0447-x

zbMATH Keywords

minimization problemFaber-Krahn type inequalityclamped 1-biharmonic operatorhigher order Sobolev embeddding

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (9)

Existence of nontrivial solution for quasilinear equations involving the 1-biharmonic operator ⋮ Existence and concentration properties for the 1-biharmonic equation with lack of compactness ⋮ The eigenvalue problem for the \(\infty \)-Bilaplacian ⋮ Some existence results of bounded variation solutions for a 1‐biharmonic problem with vanishing potentials ⋮ Existence and concentration of solutions for a 1-biharmonic Choquard equation with steep potential Well in \(R^N \) ⋮ Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions ⋮ Some existence results of bounded variation solutions to 1-biharmonic problems ⋮ Properties of the 1-polyharmonic operator in the whole space and applications to nonlinear elliptic equations ⋮ On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result

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