Results 91 to 100 of about 4,328,107 (173)

Weighted Sobolev Space and Hyperbolic Laplacian Equations I

, 2022
In this paper, the following problem in the hyperbolic space $\mathbb{B}^N$ will be considered \begin{equation*} -\Delta_{\mathbb{B}^N} u=f(x,u), \mathrm{in} \ \mathbb{B}^N.\eqno{(1)} \end{equation*} where, $\Delta_{\mathbb{B}^N}$ denotes the Laplace ...
Xiong, Huiru, Fang, Fei, Tan, Zhong
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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
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Interpolation of weighted Sobolev spaces

, 2019
In this work we present a newly developed study of the interpolation of weighted Sobolev spaces by the complex method. We show that in some cases, one can obtain an analogue of the famous Stein–Weiss theorem for weighted Lp spaces. We consider an example
Cwikel, Michael, Amit Einav, Einav, Amit, Michael Cwikel   +3 more
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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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Sphere-Valued Sobolev Maps

, 2023
reservedAnalysis of the intrinsic properties of the Sobolev maps from the n-dimensional space to the k-dimensional ...
MASSERINI, SIMONE
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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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Local W^{1,p}-regularity estimates for weak solutions of parabolic equations with singular divergence-free drifts

Electronic Journal of Differential Equations, 2017
We study weighted Sobolev regularity of weak solutions of non-homogeneous parabolic equations with singular divergence-free drifts. Assuming that the drifts satisfy some mild regularity conditions, we establish local weighted $L^p$-estimates for the
Tuoc Phan
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Optimal function spaces in weighted Sobolev embeddings with monomial weight

, 2023
In this thesis we study a weighted Sobolev-type inequality for functions from a certain Sobolev-type space that is built upon a rearrangement-invariant space.
Drážný, Ladislav
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Existence of weak solutions for degenerate semilinear elliptic equations in unbounded domains

Electronic Journal of Differential Equations, 2009
In this study, we prove the existence of a weak solution for the degenerate semilinear elliptic Dirichlet boundary-value problem $$displaylines{ Lu-mu u g_{1} + h(u) g_{2}= fquad hbox{in }Omega,cr u = 0quad hbox{on }partialOmega }$$ in a suitable ...
Venkataramanarao Raghavendra, Rasmita Kar   +1 more
doaj  

Nonlinear singular hyperbolic initial boundary value problems

Electronic Journal of Differential Equations, 2017
In this article, we aim to prove the well posedness of a one point initial boundary value problem for a nonlinear hyperbolic singular integro-differential partial differential equation.
Said Mesloub, Imed Bachar
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