图书简介
This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDEs, which was held in Cortona (Italy) during the week of May 20–24, 2019. This book will be of great interest for the mathematical community and in particular for researchers studying parabolic and elliptic PDEs. It covers many different fields of current research as follows: convexity of solutions to PDEs, qualitative properties of solutions to parabolic equations, overdetermined problems, inverse problems, Brunn-Minkowski inequalities, Sobolev inequalities, and isoperimetric inequalities.
1 E. Berchio et al., Poincaré and Hardy inequalities on homogeneous trees.- 2 S. Cingolani and K. Tanaka, Ground state solutions for the nonlinear Choquard equation with prescribed mass.- 3 A. Falocchi, Optimization of the structural performance of non-homogeneous partially hinged rectangular plates.- 4 K. Fujie, Energy-like functional in a quasilinear parabolic chemotaxis system.- 5 Y. Fujishima and N. Ioku, Solvability of a semilinear heat equation via a quasi scale invariance.- 6 F. Gazzola and G. Sperone, Bounds for Sobolev embedding constants in non-simply connected planar domains.- 7 K. Hisa, Sharp estimate of the life span of solutions to the heat equation with a nonlinear boundary condition.- 8 Y.-G. Ji et al., Neutral inclusions, weakly neutral inclusions, and an over-determined problem for confocal ellipsoids.- 9 T. Kawakami and M. Muratori, Nonexistence of radial optimal functions for the Sobolev inequality on Cartan-Hadamard manifolds.- 10 Q. Liu, Semiconvexity of viscosity solutions to fully nonlinear evolution equations via discrete games.- 11 R. Magnanini and G. Poggesi, An interpolating inequality for solutions of uniformly elliptic equations.- 12 N. Miyake and S. Okabe, Asymptotic behavior of solutions for a fourth order parabolic equation with gradient nonlinearity via the Galerkin method.- 13 D. Naimen and F. Takahashi, A note on radial solutions to the critical Lane-Emden equation with a variable coefficient.- 14 M. Sobajima and Y. Wakasugi, Remark on one dimensional semilinear damped wave equation in a critical weighted L2-space.
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