The Experts below are selected from a list of 47097 Experts worldwide ranked by ideXlab platform
Jiguang Bao - One of the best experts on this subject based on the ideXlab platform.
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regularity of very weak solutions for nonhomogeneous Elliptic Equation
Communications in Contemporary Mathematics, 2013Co-Authors: Wei Zhang, Jiguang BaoAbstract:In this paper, we study the local regularity of very weak solution of the Elliptic Equation Dj(aij(x)Diu) = f - Digi. Using the bootstrap argument and the difference quotient method, we obtain that if , and with 1 < p < ∞, then . Furthermore, we consider the higher regularity of u.
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regularity of very weak solutions for Elliptic Equation of divergence form
Journal of Functional Analysis, 2012Co-Authors: Wei Zhang, Jiguang BaoAbstract:Abstract In this paper, we study the local regularity of very weak solution u ∈ L loc 1 ( Ω ) of the Elliptic Equation D j ( a i j ( x ) D i u ) = 0 . Using the bootstrap argument and the difference quotient method, we obtain that if a i j ∈ C loc 0 , 1 ( Ω ) , then u ∈ W loc 2 , p ( Ω ) for any p ∞ .
Wei Zhang - One of the best experts on this subject based on the ideXlab platform.
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a nontrivial solution of a quasilinear Elliptic Equation via dual approach
Acta Mathematica Scientia, 2019Co-Authors: Xianyong Yang, Wei Zhang, Fukun ZhaoAbstract:In this article, we are concerned with the existence of solutions of a quasilinear Elliptic Equation in ℝN which includes the so-called modified nonlinear Schrodinger Equation as a special case. Combining the dual approach and the nonsmooth critical point theory, we obtain the existence of a nontrivial solution.
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regularity of very weak solutions for nonhomogeneous Elliptic Equation
Communications in Contemporary Mathematics, 2013Co-Authors: Wei Zhang, Jiguang BaoAbstract:In this paper, we study the local regularity of very weak solution of the Elliptic Equation Dj(aij(x)Diu) = f - Digi. Using the bootstrap argument and the difference quotient method, we obtain that if , and with 1 < p < ∞, then . Furthermore, we consider the higher regularity of u.
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regularity of very weak solutions for Elliptic Equation of divergence form
Journal of Functional Analysis, 2012Co-Authors: Wei Zhang, Jiguang BaoAbstract:Abstract In this paper, we study the local regularity of very weak solution u ∈ L loc 1 ( Ω ) of the Elliptic Equation D j ( a i j ( x ) D i u ) = 0 . Using the bootstrap argument and the difference quotient method, we obtain that if a i j ∈ C loc 0 , 1 ( Ω ) , then u ∈ W loc 2 , p ( Ω ) for any p ∞ .
Samy Skander Bahoura - One of the best experts on this subject based on the ideXlab platform.
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An interior boundedness result for an Elliptic Equation
2020Co-Authors: Samy Skander BahouraAbstract:We derive a local uniform boundedness result for an Elliptic Equation having interior singularity.
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A compactness result for an Elliptic Equation with Holderian condition on the annulus
2020Co-Authors: Samy Skander BahouraAbstract:We give a blow-up behavior for the solutions of an Elliptic Equation under some conditions. We also derive a compactness criterion for this Elliptic Equation with Hölderian condition.
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A compactness result for an Elliptic Equation in dimension 2.
2018Co-Authors: Samy Skander BahouraAbstract:We give blow-up analysis for the solutions of an Elliptic Equation under some conditions. Also, we derive a compactness result for this Equation.
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Harnack type inequality for a nonlinear Elliptic Equation.
2017Co-Authors: Samy Skander BahouraAbstract:We give a sup × inf inequality for an Elliptic Equation.
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Harnack type inequality for an Elliptic Equation
2015Co-Authors: Samy Skander BahouraAbstract:We give a sup × inf inequality for an Elliptic Equation.
Alberto Tesei - One of the best experts on this subject based on the ideXlab platform.
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On a semilinear Elliptic Equation with inverse square potential
2008Co-Authors: Haïm Brezis, Louis Dupaigne, Alberto TeseiAbstract:On a semilinear Elliptic Equation with inverse square potential
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on a semilinear Elliptic Equation with inverse square potential
Selecta Mathematica-new Series, 2005Co-Authors: Haïm Brezis, Louis Dupaigne, Alberto TeseiAbstract:We study the existence and nonexistence of solutions to a semilinear Elliptic Equation with inverse-square potential. The dividing line with respect to existence or nonexistence is given by a critical exponent, which depends on the strength of the potential.
Basilio Messano - One of the best experts on this subject based on the ideXlab platform.
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Existence and comparison results for a singular semilinear Elliptic Equation with a lower order term
Ricerche di Matematica, 2014Co-Authors: Barbara Brandolini, Vincenzo Ferone, Basilio MessanoAbstract:This paper deals with the homogeneous Dirichlet problem for a singular semilinear Elliptic Equation with a first order term. When the datum is bounded we prove an existence result and we show that any solution can be compared with the solution to a suitable symmetrized problem.
