Some remarks on Sobolev type inequalities

DOI10.1007/BF01192092zbMath0819.35049OpenAlexW2077764299MaRDI QIDQ1344088

S. L. Yadava, Adimurthi

Publication date: 24 August 1995

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01192092

zbMATH Keywords

best Sobolev constantsSobolev type inequalities

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (11)

Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality ⋮ Asymptotic behavior of least energy solutions for a singularly perturbed problem with nonlinear boundary condition ⋮ Sharp constants in weighted trace inequalities on Riemannian manifolds ⋮ Some nonlinear elliptic equations from geometry ⋮ Sharp Sobolev inequalities involving boundary terms revisited ⋮ Some general forms of sharp Sobolev inequalities ⋮ On the second solution to a critical growth Robin problem ⋮ On the best Sobolev inequality ⋮ Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains ⋮ A sharp Sobolev trace inequality involving the mean curvature on Riemannian manifolds ⋮ Existence and nonexistence of least energy solutions of the Neumann problem for a semilinear elliptic equation with critical Sobolev exponent and a critical lower-order perturbation.

Cites Work

• The concentration-compactness principle in the calculus of variations. The limit case. I
• Sobolev inequalities with remainder terms
• Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
• Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
• The Yamabe problem on manifolds with boundary
• Best constant in Sobolev inequality
• Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity
• Positive solution for neumann problem with critical non linearity on boundary
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