Remarks on the behavior of the best Sobolev constants
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Publication:5743921
DOI10.1007/978-3-319-19902-3_12zbMath1335.35004OpenAlexW2401188404MaRDI QIDQ5743921
Publication date: 9 February 2016
Published in: Contributions to Nonlinear Elliptic Equations and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-19902-3_12
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Quasilinear elliptic equations with (p)-Laplacian (35J92) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
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Cites Work
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- Absolute continuity of the best Sobolev constant
- Regularity results for the best-Sobolev-constant function
- Solutions of the Cheeger problem via torsion functions
- The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
- Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
- Proof of two conjectures of H. Brezis and L. A. Peletier
- On the asymptotics of solutions of the Lane-Emden problem for the \(p\)-Laplacian
- On the Dirichlet problem involving the equation \(-\Delta _pu=\lambda u^{s - 1}\)
- Elliptic equations with nearly critical growth
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem
- Counting peaks of solutions to some quasilinear elliptic equations with large exponents
- Real analyticity and non-degeneracy
- Symmetry results for functions yielding best constants in Sobolev-type inequalities.
- The \(\infty\)-eigenvalue problem
- On a problem of Huang concerning best constants in Sobolev embeddings
- Asymptotics for the best Sobolev constants and their extremal functions
- On the resonant Lane–Emden problem for the p-Laplacian
- Quasilinear elliptic equations with nearly critical growth
- On a familiy of torsional creep problems.
- Boundary regularity for solutions of degenerate elliptic equations
- On a Two-Dimensional Elliptic Problem with Large Exponent in Nonlinearity
- A note on the asymptotic behavior of positive solutions for some elliptic equation
- On the eigenvalues of the $p$-Laplacian with varying $p$
- Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity
- Single-point condensation and least-energy solutions
- Computing the best constant in the Sobolev inequality for a ball
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