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Correction to: Existence and Nonexistence of the Solutions to the Cauchy Problem of Quasilinear Parabolic Equation with a Gradient Term
Erratum to “Existence and nonexistence of the solutions to the Cauchy problem of quasilinear parabolic equation with a gradient term” by Mingjun Zhou...
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Nonexistence of solutions to Cauchy problems for anisotropic pseudoparabolic equations
We study the nonexistence of nonnegative global weak solutions to the Cauchy problem of anisotropic pseudoparabolic equations and corresponding...
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Nonexistence and rigidity of spacelike mean curvature flow solitons immersed in a GRW spacetime
We study the nonexistence and rigidity of an important class of particular cases of trapped submanifolds, more precisely, n -dimensional spacelike...
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On Stable Weak Solutions of the Weighted Static Choquard Equation Involving Grushin Operator
In this paper we study solutions, possibly unbounded and sign-changing, of a weighted static Choquard equation involving the Grushin operator. Under...
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Nonexistence results of Caputo-type fractional problem
In this paper, we deal with Caputo-type fractional differential inequality where there is a low-order fractional derivative with the term polynomial...
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Existence and Nonexistence of Positive Solutions for Singular (p, q)-Equations with Superdiffusive Perturbation
We consider a nonlinear Dirichlet problem driven by the ( p , q )-Laplacian and with a reaction which is parametric and exhibits the combined effects of...
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Convergence and Traveling Wave Solutions in a Delayed Diffusive Competitive Model
This paper studies the convergence and minimal wave speed of traveling wave solutions in a delayed competitive model. Due to the effect of time...
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Sufficient and Necessary Conditions on the Existence and Estimates of Boundary Blow-Up Solutions for Singular p-Laplacian Equations
Let Ω denote a smooth, bounded domain in ℝ N ( N ≥ 2). Suppose that g is a nondecreasing C 1 positive function and assume that b ( x ) is continuous and...
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Nonexistence of Sign-Changing Solutions for Some Elliptic Inequalities in Bounded Domains
AbstractNonlinear elliptic inequalities in bounded domains and systems of such inequalities involving terms depending differently on the positive and...
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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...
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Periodic solutions for a second-order partial difference equation
A second-order partial difference equation is considered in this paper. By applying critical point theory, we not only establish a series of...
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Existence and non-existence of global solutions of pseudo-parabolic equations involving p(x)-Laplacian and logarithmic nonlinearity
In this paper, we consider a class of pseudo-parabolic equations involving p ( x )-Laplacian and logarithmic nonlinearity. By using the potential well...
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Nonexistence of critical fractional Sobolev–Hardy elliptic problems
In this paper, we study the nonexistence of solutions for a fractional elliptic problem with critical Sobolev–Hardy exponents and Hardy-type...
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Existence and nonexistence results for critical growth fractional elliptic systems
In this note, we consider a gradient type fractional elliptic system with critical exponents. Under suitable conditions on the nonlinear term and...
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Blow-up solutions of damped Klein–Gordon equation on the Heisenberg group
We prove the blow-up of solutions of the semilinear damped Klein–Gordon equation in a finite time for arbitrary positive initial energy on the...
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Radial solutions for fully nonlinear elliptic equations of Monge–Ampère type
First, the symmetry of classical solutions to the Monge–Ampère-type equations is obtained by the moving plane method. Then, the existence and...