Results 91 to 100 of about 1,593,722 (169)

Existence of an extremal function of critical Sobolev embedding with an $\alpha $-homogeneous weight

Comptes Rendus. Mathématique
In [Calc. Var. Partial Differ. Equ. 60 (2021), no. 1, article no. 16 (27 pages)], we revisited a critical Sobolev-type embedding for weighted Sobolev spaces as introduced in [J. Differ. Equations 255 (2013), no. 11, pp.
Gurka, Petr, Hauer, Daniel
doaj   +1 more source

Weighted Sobolev spaces applied to nonlinear Klein-Gordon equation

, 1999
In this work we study the decay properties of the semilinear Klein-Gordon equation with nonlinearity of fractional order. By the aid of a suitable generalization of the weighted Sobolev spaces we define the weighted Sobolev spaces on the upper branch of ...
GUEORGUIEV, VLADIMIR SIMEONOV, LUCENTE, SANDRA, Georgiev V, LUCENTE S.   +3 more
core   +1 more source

EMBEDDING THEOREMS IN BANACH -VALUED SOBOLEV-LIOUVILLE SPACES AND THEIR APPLICATIONS

Electrica, 2002
In this paper we introduce a Banach- valued Sobolev-Liouville spaces associated with Banach spaces E1,E and some parameters and proved continuity and compacness of embedding operators in these spaces in terms of theory interpolations of Banach spaces ...
Veli SHAKHMUROV
doaj   +2 more sources

Existence of solutions for some degenerate quasilinear elliptic equations

Le Matematiche, 2008
In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations 
Albo Carlos Cavalheiro
doaj  

Resultados de existência para equações elípticas com termos singulares [PDF]

, 2013
Doutoramento em Matemática e AplicaçõesEsta dissertação estuda em detalhe três problemas elípticos: (I) uma classe de equações que envolve o operador Laplaciano, um termo singular e nãolinearidade com o exponente crítico de Sobolev, (II) uma classe de ...
Murillo, Kelly Patricia
core  

Cauchy problems for fifth-order KdV equations in weighted Sobolev spaces

Electronic Journal of Differential Equations, 2015
In this work we study the initial-value problem for the fifth-order Korteweg-de Vries equation $$ \partial_{t}u+\partial_{x}^{5}u+u^k\partial_{x}u=0, \quad x,t\in \mathbb{R}, \; k=1,2, $$ in weighted Sobolev spaces $H^s(\mathbb{R})\cap L^2 ...
Eddye Bustamante, Jose Jimenez, Jorge Mejia   +2 more
doaj  

A new approach to weighted Sobolev spaces. [PDF]

Mon Hefte Math
Kebiche D.
europepmc   +1 more source

Trace theory for parabolic boundary value problems with rough boundary conditions. [PDF]

J Evol Equ
Denk R, Roodenburg FB.
europepmc   +1 more source

Vector-Valued Weighted Sobolev Spaces with Variable Exponent

, 2019
Our aim is to introduce the vector-valued weighted variable exponent Lebesgue spaces. We discusstwo different type of Holder inequalities in this spaces.
Aydın, İsmail
core  

Unstable Vortices, Sharp Non-Uniqueness with Forcing, and Global Smooth Solutions for the SQG Equation. [PDF]

Arch Ration Mech Anal
Castro Á, Faraco D, Mengual F, Solera M.   +3 more
europepmc   +1 more source