Results 91 to 100 of about 32,440 (193)
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
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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
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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
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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
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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.
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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
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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
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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 +1 more
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Existence and asymptotic behavior of solutions to the generalized damped Boussinesq equation
Electronic Journal of Differential Equations, 2012 We consider the Cauchy problem for the n-dimensional generalized damped Boussinesq equation. Based on decay estimates of solutions to the corresponding linear equation, we define a solution space with time weighted norms.
Yinxia Wang
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Weak solutions for degenerate semilinear elliptic BVPs in unbounded domains
Electronic Journal of Differential Equations, 2012 In this article, we prove the existence of a weak solution for the degenerate semilinear elliptic Dirichlet boundary-value problem $$displaylines{ Lu(x)+sum_{i=1}^n g(x)h(u(x))D_iu(x)=f(x)quad hbox{in }Omega,cr u=0quad hbox{on }partialOmega, }$$ in
Rasmita Kar
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