Absolute continuity of the best Sobolev constant
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Publication:488675
DOI10.1016/J.JMAA.2013.03.044zbMath1304.46030arXiv1206.0048OpenAlexW2245160762MaRDI QIDQ488675
Publication date: 26 January 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.0048
Related Items (15)
Ground state solution to the biharmonic equation ⋮ Uniqueness of extremals for some sharp Poincaré-Sobolev constants ⋮ On a singular minimizing problem ⋮ Convex duality for principal frequencies ⋮ Minimal potential results for Schrödinger equations with Neumann boundary conditions ⋮ On the first exterior \(p\)-harmonic Steklov eigenvalue ⋮ Regularity results for the best-Sobolev-constant function ⋮ Monotonicity, continuity and differentiability results for the \(L^{p}\) Hardy constant ⋮ Computing the best constant in the Sobolev inequality for a ball ⋮ Remarks on the behavior of the best Sobolev constants ⋮ Ground state solution of the thin film epitaxy equation ⋮ Asymptotics for the best Sobolev constants and their extremal functions ⋮ Ground state solutions for a semilinear elliptic problem with critical-subcritical growth ⋮ Ground state solution ofp-Laplacian equation with finite many critical nonlinearities ⋮ On a problem of Huang concerning best constants in Sobolev embeddings
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- Best constant in Sobolev inequality
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- Linear and quasilinear elliptic equations
- On a familiy of torsional creep problems.
- Boundary regularity for solutions of degenerate elliptic equations
- A note on the asymptotic behavior of positive solutions for some elliptic equation
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