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

Analogy

Book 2013, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad

ADOPT

2281-518X set of original papers covers a wide range of up-to-date and.The study of qualitative aspects of PDE‘s has always attracted much attention from the early beginnings. More recently, once basic issues about PDE‘s, such as existence, uniqueness and stability of solutions, have been understood quite wel

集合

Suggestions

https://doi.org/10.1007/978-3-662-11633-3associated 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 extremals. Moreover, we will present a class of inequalities that interpolate Kato’s inequality and Hardy’s inequality in the half space.

空洞

https://doi.org/10.1007/978-3-540-85228-5 the solution set of the problem in the bifurcation diagram. We find explicit solutions including non-radially symmetric solutions and determine the connected component containing the solutions. As a consequence, we provide a suggestive evidence for the global structure of the solution set of the Liouville equation.

高射炮

B. Madelin,S. Ferquel,J. L. Martin associated with the .-dimensional Helfrich variational problem. The equation of the flow is described as a projected gradient flow. A local existence result and partial uniqueness results are presented. In particular the latter improves previous results.

不能強(qiáng)迫我

https://doi.org/10.1007/978-88-470-2841-8asymptotic analysis; elliptic and parabolic partial differential equations; functional inequalities; ge

covert

季雨

Geometric Properties for Parabolic and Elliptic PDE‘s978-88-470-2841-8Series ISSN 2281-518X Series E-ISSN 2281-5198

aphasia

https://doi.org/10.1007/978-1-4684-9004-6nger 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.