Results 91 to 100 of about 601 (183)

To a nonlocal generalization of the Dirichlet problem

Journal of Inequalities and Applications, 2006
A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are proved in a weighted Sobolev space.
Berikelashvili Givi
doaj  

Existence results for Navier problems with degenerated (p,q)-Laplacian and (p,q)-Biharmonic operators [PDF]

Results in Nonlinear Analysis, 2018
In this article, we prove the existence and uniqueness of solutions for the Navier problem \[ (P)\left\{ \begin{array}{llll} & {\Delta}{\big[}{\omega}(x)(\,{\vert{\Delta}u\vert}^{p-2}{\Delta}u + {\vert{\Delta}u\vert}^{q-2}{\Delta}u ...
Albo Carlos Cavalheiro
doaj  

Integration Processes of Delay Differential Equation Based on Modified Laguerre Functions

Journal of Applied Mathematics, 2012
We propose long-time convergent numerical integration processes for delay differential equations. We first construct an integration process based on modified Laguerre functions.
Yeguo Sun
doaj   +1 more source

Integrability of derivations of classical solutions of Dirichlet's problem for an elliptic equation

International Journal of Mathematics and Mathematical Sciences, 1984
The present work is concerned with integrability properties of derivatives of classical solutions of Dirichlet's problem for a linear second-order elliptic equation Lu=f.
M. I. Hassan
doaj   +1 more source

Universal conformal weights on Sobolev spaces

, 2013
The Riemann Mapping Theorem states existence of a conformal homeomorphism $ $ of a simply connected plane domain $ \subset\mathbb C$ with non-empty boundary onto the unit disc $\mathbb D\subset \mathbb C$. In the first part of the paper we study embeddings of Sobolev spaces $\overset{\circ}{W_{p}^{1}}( )$ into weighted Lebesgue spaces $L_{q}( ,h ...
Gol'dshtein, V., Ukhlov, A.
openaire   +2 more sources

Embeddings of Weighted Sobolev Spaces

, 1999
We prove a version of Schur’s lemma for operators with positive kernels on weighted \(L_p\) spaces and apply the result to Riesz potentials of first order to get weighted generalizations of Trudinger’s limiting embedding.
Krbec, Miroslav, Schott, Thomas
openaire   +1 more source

Maximal estimates for fractional Schr\"odinger equations with spatial variable coefficient

Electronic Journal of Differential Equations, 2018
Let $v(r,t)=\mathcal{T}_tv_0(r)$ be the solution to a fractional Schrodinger equation where the coefficient of Laplacian depends on the spatial variable. We prove some weighted $L^q$ estimates for the maximal operator generated by $\mathcal{T}_t$ with
Bo-Wen Zheng
doaj  

Existence and uniqueness of solutions to parabolic fractional differential equations with integral conditions

Electronic Journal of Differential Equations, 2014
In this article, we establish sufficient conditions for the existence and uniqueness of a solution, in a functional weighted Sobolev space, for partial fractional differential equations with integral conditions.
Taki-Eddine Oussaeif, Abdelfatah Bouziani   +1 more
doaj  

Variational structures for the Fokker-Planck equation with general Dirichlet boundary conditions. [PDF]

Calc Var Partial Differ Equ
Quattrocchi F.
europepmc   +1 more source

Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]

Nonlinear Differ Equ Appl
Agresti A, Veraar M.
europepmc   +1 more source