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

知识

FLAX

Possibilities of Error in the ENG, where . is a smooth bounded domain in ℝ. for .∈ℕ. By using a new Pohozaev type identity for the Green function of (−.). under the Navier boundary condition, we show that the set of blow up points for any blowing-up solution sequence must be a singleton on . domains, under some assumptions on the weight function ..

自传

,Existence of Minimizers for Some Coupled Nonlinear Schrödinger Equations,nger equations which appear in the field of nonlinear optics. We observe the relationship between two minimizing problems and also study the asymptotic behavior when the coefficient standing for the nonlocal nonlinearity tend to 0.

Estimable

A Priori Estimates and Comparison Principle for Some Nonlinear Elliptic Equations,deduce existence and uniqueness results for weak solutions or “solution obtained as limit of approximations” to Dirichlet problems related to these types of operators when data belong to suitable Lorentz spaces. Moreover it is also shown how the summability of these solutions increases when the summability of the datum increases.

祸害隐伏

Noctambulant

larder

M. J. Halhuber,R. Günther,M. Ciresaace, 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

精致

https://doi.org/10.1007/978-3-662-11633-3culus 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

丰满中国

越自我

Multi-Criteria Evaluation Methods,ne, and the area functional in the problem of the minimal surface of revolution. A minimizer is constructed by means of the direct method. More precisely, each admissible curve is replaced by its convex envelope, and the functional is shown to decrease. Hence, there exists a minimizing sequence made