Best constants in Poincar\'e inequalities for convex domains

zbMath1263.35010arXiv1110.2960MaRDI QIDQ4914055

Carlo Nitsch, Luca Esposito, Cristina Trombetti

Publication date: 17 April 2013

Full work available at URL: https://arxiv.org/abs/1110.2960

zbMATH Keywords

Neumann boundary conditionsPólya-Szegö inequalityweighted Wirtinger inequality\(p\)-Laplacian eigenvaluesPayne-Weinberger type inequality

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Equations involving nonlinear operators (general) (47J05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Inequalities for sums, series and integrals (26D15) Quasilinear elliptic equations with (p)-Laplacian (35J92) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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