Brunn-Minkowski inequalities for two functionals involving thep-Laplace operator

DOI10.1080/00036810500277819zbMath1151.52307OpenAlexW1975661033WikidataQ58282958 ScholiaQ58282958MaRDI QIDQ5201451

Paola Cuoghi, Paolo Salani, Andrea Colesanti

Publication date: 19 April 2006

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810500277819

zbMATH Keywords

first eigenvalue\(p\)-Laplace operatortorsional rigidityBrunn-Minkowski inequality

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60) Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Variational methods for second-order elliptic equations (35J20)

Related Items

Symmetry results for overdetermined problems via \(L_p\) Brunn-Minkowski inequalities, Hadamard variational formulas for \(p\)-torsion and \(p\)-eigenvalue with applications, Concavity properties for elliptic free boundary problems, Variational formula and overdetermined problem for the principal eigenvalue of \(k\)-Hessian operator, The uniqueness of the \(L_p\) Minkowski problem for \(q\)-torsional rigidity, The Hadamard variational formula and the Minkowski problem for \(p\)-capacity, The functional Orlicz–Brunn–Minkowski inequality for q‐torsional rigidity, Parabolic Minkowski convolutions and concavity properties of viscosity solutions to fully nonlinear equations, The Orlicz Brunn-Minkowski inequality for the first eigenvalue of \(p\)-Laplacian, Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations in \(\mathbb{R}^3\), Combination and mean width rearrangements of solutions to elliptic equations in convex sets, The Brunn-Minkowski inequality for the principal eigenvalue of fully nonlinear homogeneous elliptic operators, A Brunn-Minkowski inequality for the Monge-Ampère eigenvalue, Brunn-Minkowski inequalities for variational functionals and related problems, Quantitative Borell-Brascamp-Lieb inequalities for compactly supported power concave functions (and some applications)

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