On the monotonicity of the best constant of Morrey’s inequality in convex domains

DOI10.1090/PROC/15826zbMath1483.35007OpenAlexW4200538184MaRDI QIDQ5020704

Maria Fărcăşeanu, Mihai Mihăilescu

Publication date: 7 January 2022

Full work available at URL: https://doi.org/10.1090/proc/15826

zbMATH Keywords

\(p\)-Laplace operatordistance function to the boundaryMorrey's inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Spectral theory; eigenvalue problems on manifolds (58C40) Variational methods for eigenvalues of operators (49R05) Quasilinear elliptic equations with (p)-Laplacian (35J92) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (1)

The monotonicity of the \(p\)-torsional rigidity in convex domains

Cites Work

• Unnamed Item
• A priori estimate for the first eigenvalue of the \(p\)-Laplacian.
• Lens spaces among 3-manifolds and quotient surface singularities
• A monotonicity property of the \(p\)-torsional rigidity
• An optimal pointwise Morrey-Sobolev inequality
• On the monotonicity of the principal frequency of the \(p\)-Laplacian
• Extremal functions for Morrey's inequality in convex domains
• Monotonicity with respect to \(p\) of the first nontrivial eigenvalue of the \(p\)-Laplacian with homogeneous Neumann boundary conditions
• Asymptotics for the best Sobolev constants and their extremal functions
• Minimization problems for inhomogeneous Rayleigh quotients

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