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Two Disjoint and Infinite Sets of Solutions for an Elliptic Equation Involving Critical Hardy-Sobolev Exponents
In this paper, by an approximating argument, we obtain two disjoint and infinite sets of solutions for the following elliptic equation with critical...
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Existence and Properties of Solutions for a Class of Fractional Differential Equations
In this paper, we consider the initial value problem of a class of fractional differential equations. Firstly, we obtain the existence and uniqueness...
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A Dual Yamabe Flow and Related Integral Flows
The author studies a family of nonlinear integral flows that involve Riesz potentials on Riemannian manifolds. In the Hardy-Littlewood-Sobolev (HLS...
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Existence to Fractional Critical Equation with Hardy-Littlewood-Sobolev Nonlinearities
In this paper, we consider the following new Kirchhoff-type equations involving the fractional p -Laplacian and Hardy-Littlewood-Sobolev critical...
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Equivalence of Subcritical and Critical Adams Inequalities in \(W^{m,2}(\mathbb {R}^{2m})\) and Existence and Non-existence of Extremals for Adams Inequalities under Inhomogeneous Constraints
Though there have been extensive works on the existence of maximizers for sharp Trudinger-Moser inequalities under homogeneous and inhomogeneous...
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On Continuation Criteria for the Full Compressible Navier-Stokes Equations in Lorentz Spaces
In this paper, we derive several new sufficient conditions of the non-breakdown of strong solutions for both the 3D heat-conducting compressible...
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Asymptotic Properties for a Semilinear Edge-Degenerate Parabolic Equation
The author deals with a semi-linear edge-degenerate parabolic equation, and proves that the solution increases exponentially under the initial energy J (...
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The Global Solution and Blowup of a Spatiotemporal EIT Problem with a Dynamical Boundary Condition
We study a spatiotemporal EIT problem with a dynamical boundary condition for the fractional Dirichlet-to-Neumann operator with a critical exponent....
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Existence and Nonexistence of the Solutions to the Cauchy Problem of Quasilinear Parabolic Equation with a Gradient Term
This paper deals with the existence and non-xistence of the solutions to the Cauchy problem of a class of quasilinear parabolic equations with a...