Titlebook: Geometric Properties for Parabolic and Elliptic PDE‘s; Rolando Magnanini,Shigeru Sakaguchi,Angelo Alvino Book 2013 Springer-Verlag Italia

眨眼

Ground States for Elliptic Equations in , with Exponential Critical Growth,In this paper, we obtain a mountain pass characterization of ground state solutions for some class of elliptic equations in ℝ. with nonlinearities in the critical (exponential) growth range.

雄辩

Book 2013nd informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulating future developments and perspectives in this very active area of research..

GLIB

肥料

Stationary Level Surfaces and Liouville-Type Theorems Characterizing Hyperplanes,uchi in J. Differ. Equ. 252:236–257, ., Theorem 2.3 and Remark 2.4). Next, we consider the heat equation in particular and we introduce the class . of entire graphs . of functions . such that {|.(.)−.(.)|:|.−.|≤1} is bounded. With the help of the theory of viscosity solutions, we show that . must be

不利

FOVEA

2281-518X trends and techniques and aims at promoting scientific collaboration and stimulating future developments and perspectives in this very active area of research..978-88-470-5612-1978-88-470-2841-8Series ISSN 2281-518X Series E-ISSN 2281-5198

多嘴

Stability and Instability of Group Invariant Asymptotic Profiles for Fast Diffusion Equations,e of weak solutions is inherited from initial data. After briefly reviewing previous results on asymptotic profiles of vanishing solutions and their stability, the notions of stability and instability of group invariant profiles are introduced under a similarly invariant class of perturbations, and

抗原

The Heart of a Convex Body,ace, and is a non-local object. The main motivation of our interest for . is that this gives an estimate of the location of the hot spot in a convex heat conductor with boundary temperature grounded at zero. Here, we investigate on the relation between . and the mirror symmetries of .; we show that

祸害隐伏

,Kato’s Inequality in the Half Space: An Alternative Proof and Relative Improvements,culus of Variation due to Weirstrass (and developed by Hilbert) that usually is considered to prove that the solutions of the Euler Lagrange equation associated to a functional are, in fact, extremals. In this paper we will show how this method is well suited also to functionals that have no extrema

天空

Sharp Bounds for the ,-Torsion of Convex Planar Domains,s on the use of web functions (.. functions depending only on the distance from the boundary), and on the behavior of the inner parallel sets of convex polygons. As an application of our isoperimetric inequalities, we consider the shape optimization problem which consists in maximizing the .-torsion