Critical dimensions and higher order Sobolev inequalities with remainder terms
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Publication:5937989
DOI10.1007/PL00001437zbMath0990.46021MaRDI QIDQ5937989
Hans-Christoph Grunau, Gazzola, Filippo
Publication date: 2 August 2002
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)
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On the critical dimension of a fourth order elliptic problem with negative exponent ⋮ Remainder terms in a higher order Sobolev inequality ⋮ Sharp Sobolev inequalities in critical dimensions. ⋮ The Brezis-Nirenberg problem for systems involving divergence-form operators ⋮ A critical elliptic problem for polyharmonic operators ⋮ Nodal ground state solution to a biharmonic equation via dual method ⋮ Sobolev spaces of symmetric functions and applications ⋮ Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities ⋮ An improvement of Sobolev inequality involving Hardy potential term ⋮ Positivity for fourth-order semilinear problems related to the Kirchhoff-love functional ⋮ Higher-order Sobolev embeddings and isoperimetric inequalities ⋮ Hardy-Sobolev inequalities for the biharmonic operator with remainder terms ⋮ Hardy-Rellich inequalities with boundary remainder terms and applications ⋮ Remarks on a polyharmonic eigenvalue problem ⋮ Positive solutions in semilinear critical problems for polyharmonic operators ⋮ Existence of solutions for singular critical growth semilinear elliptic equations ⋮ Semilinear biharmonic problems with a singular term ⋮ Unnamed Item ⋮ Hardy inequalities with optimal constants and remainder terms ⋮ Banach algebras of weakly differentiable functions
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