Limiting Sobolev inequalities and the 1-biharmonic operator

DOI10.1515/anona-2014-0007zbMath1314.46046OpenAlexW2314482576MaRDI QIDQ470288

Bernhard Ruf, Enea Parini, Cristina Tarsi

Publication date: 12 November 2014

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2014-0007

zbMATH Keywords

1-biharmonic operatorFaber-Krahn type inequalitySobolev space embedding

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 (8)

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 ⋮ 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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