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On the supercritical fractional diffusion equation with Hardy-type drift
We study the heat kernel of the supercritical fractional diffusion equation with the drift in the critical Hölder space. We show that such a drift...
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The Boundary Case for the Supercritical Deformed Hermitian–Yang–Mills Equation
In this paper, we shall study the weak solution to the supercritical deformed Hermitian–Yang–Mills equation in the boundary case.
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Precise Asymptotics in Limit Theorems for a Supercritical Branching Process with Immigration in a Random Environment
Let ( Z n ) be a supercritical branching process with immigration in an independent and identically distributed random environment. Under necessary...
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On supercritical elliptic problems: existence, multiplicity of positive and symmetry breaking solutions
The main thrust of our current work is to exploit very specific characteristics of a given problem in order to acquire improved compactness for...
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On a supercritical k-Hessian inequality of Trudinger–Moser type and extremal functions
We establish a supercritical Trudinger–Moser type inequality for the k -Hessian operator on the space of the k -admissible radially symmetric functions
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Sharp Condition for Global Existence of Supercritical Nonlinear Schrödinger Equation with a Partial Confinement
We study the L 2 -supercritical nonlinear Schrödinger equation (NLS) with a partial confinement, which is the limit case of the cigar-shaped model in...
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Multivariate Records of Particle Scores in Supercritical Branching Processes with Continuous Time
AbstractBivariate records of particle scores in immortal supercritical branching processes with continuous time are studied. The limiting intensity...
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Positive solutions to nonhomogeneous quasilinear problems with singular and supercritical nonlinearities
In this article, we establish the existence of nonnegative solutions to the following quasilinear and singular elliptic problems with supercritical...
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Existence of solution for a nonlinear equation with supercritical exponential growth
We use a fixed point theorem and an approximation scheme to obtain the existence of at least one positive solution of a p -Laplacian equation with an...
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Multiple Positive Solutions for Kirchhoff-Type Problems Involving Supercritical and Critical Terms
We investigate the multiplicity results of positive solutions for a Kirchhoff-type problems with supercritical and critical nonlinear terms in a...
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Supercritical problems via a fixed point argument on the cone of monotonic functions
Here we develop a general procedure to obtain positive classical solutions of various supercritical elliptic problems on domains of double revolution...
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Exact convergence rate of solutions for a semilinear heat equation with a critical and a supercritical exponent revisited
We study the behavior of solutions of the Cauchy problem for a semilinear heat equation with supercritical and critical nonlinearity in the sense of...
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On Attractors of Ginzburg–Landau Equations in Domain with Locally Periodic Microstructure: Subcritical, Critical, and Supercritical Cases
AbstractIn the paper we consider a problem for complex Ginzburg–Landau equations in a medium with locally periodic small obstacles. It is assumed...
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Limiting Behavior of Random Attractors of Stochastic Supercritical Wave Equations Driven by Multiplicative Noise
This paper deals with the limiting behavior of random attractors of stochastic wave equations with supercritical drift driven by linear...
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Existence of Entire Solutions to the Lagrangian Mean Curvature Equations in Supercritical Phase
In this paper, we establish the existence and uniqueness theorem of entire solutions to the Lagrangian mean curvature equations with prescribed...
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Isoperimetric Inequalities and Supercritical Percolation on High-Dimensional Graphs
It is known that many different types of finite random subgraph models undergo quantitatively similar phase transitions around their percolation...
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Slightly supercritical percolation on nonamenable graphs II: growth and isoperimetry of infinite clusters
We study the growth and isoperimetry of infinite clusters in slightly supercritical Bernoulli bond percolation on transitive nonamenable graphs under...
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Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds
In this paper, we shall discuss singular solutions of semilinear elliptic equations with general supercritical growth on spherically symmetric...
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Spike Solutions to the Supercritical Fractional Gierer–Meinhardt System
Localized solutions are known to arise in a variety of singularly perturbed reaction–diffusion systems. The Gierer–Meinhardt (GM) system is one such...
