Results 41 to 50 of about 160 (121)
This work deals with a coupled system of viscoelastic wave equation of infinite memory with mixed Dirichlet-Neumann boundary conditions. The coupling is via the acoustic boundary conditions on a portion of the boundary.
BOUKHATEM, Yamna +2 more
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Dynamics of the non-radial energy-critical inhomogeneous NLS [PDF]
We consider the focusing inhomogeneous nonlinear Schr\"odinger equation \[ i\partial_t u + \Delta u + |x|^{-b}|u|^\alpha u = 0\qtq{on}\R\times\R^N, \] with $\alpha=\tfrac{4-2b}{N-2}$, $N=\{3,4,5\}$ and ...
Xu, Chenbgin, Guzmán, Carlos M.
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Decay rates for mild solutions of QGE with critical fractional dissipation in L 2(R2)
Open MathematicsWe investigate the long-time behavior of global mild solutions to the two-dimensional critical quasi-geostrophic equation with critical fractional dissipation in Sobolev–Gevrey spaces.
Benameur Jamel
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Integral inequalities with an extended Poisson kernel and the existence of the extremals
Advanced Nonlinear Studies, 2023 In this article, we first apply the method of combining the interpolation theorem and weak-type estimate developed in Chen et al. to derive the Hardy-Littlewood-Sobolev inequality with an extended Poisson kernel.
Tao Chunxia, Wang Yike
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Regular and irregular solutions for a class of elliptic systems in the critical dimension
, 2020 We study regularity properties of weak solutions in the Sobolev space W 1,n 0 to inhomogeneous elliptic systems under a natural growth condition and on bounded Lipschitz domains in R n , i. e.
Lisa Beck, Jens Frehse
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Demonstratio MathematicaIn this article, we are interested in the existence of nontrivial solutions for the following nonhomogeneous Choquard equation involving the pp-biharmonic operator: M∫Ω∣Δu∣pdxΔp2u−Δpu=λ(∣x∣−μ⁎∣u∣q)∣u∣q−2u+∣u∣p*−2u+f,inΩ,u=Δu=0,on∂Ω,\left\{\begin{array}{l}
Hai Quan, Zhang Jing
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Theory for the div-curl System
, 2014 The purpose of this paper is to solve the div-curl system in the framework of L p theory. We shall give some sufficient conditions for the existence of solutions, and give the estimates of the solutions by the given data.
Junichi Aramaki
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Strongly nonlinear periodic parabolic equation in Orlicz spaces
In this paper, we prove the existence of a weak solution to the following nonlinear periodic parabolic equations in Orlicz-spaces: $$\frac{\partial u}{\partial t}-div(a(x,t,\nabla u))=f(x,t)$$ where $-div(a (x,t,\nabla u))$ is a Leray-Lions ...
ELHOUSSINE, Azroul +2 more
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Global in time well-posedness of a three-dimensional periodic regularized Boussinesq system
Demonstratio MathematicaGlobal in time weak solution to a regularized periodic three-dimensional Boussinesq system is proved to exist in energy spaces. This solution depends continuously on the initial data. In particular, it is unique.
Almutairi Shahah
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Very large solutions for the fractional Laplacian: Towards a fractional Keller–Osserman condition
Advances in Nonlinear Analysis, 2017 We look for solutions of (-△)su+f(u)=0{{\left(-\triangle\right)}^{s}u+f(u)=0} in a bounded smooth domain Ω, s∈(0,1){s\in(0,1)}, with a strong singularity at the boundary. In particular, we are interested in solutions which are L1(Ω){L^{1}(\Omega)} and
Abatangelo Nicola
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