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Article
Existence of Nontrivial Solutions to a Critical Fourth-Order Kirchhoff Type Elliptic Equation
In this paper, a critical fourth-order Kirchhoff type elliptic equation with a subcritical perturbation is studied. The main feature of this problem is that it involves both a nonlocal coefficient and a critic...
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Article
Open AccessScreening of differentially expressed microRNAs and target genes in two potato varieties under nitrogen stress
A reasonable supply of nitrogen (N) fertilizer is essential for obtaining high-quality, high-level, and stable potato yields, and an improvement in the N utilization efficiency can effectively reduce N fertili...
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Article
Existence and Multiplicity of Positive Solutions to a p-Kirchhoff-Type Equation
In this paper, a p-Kirchhoff-type elliptic equation involving a positive parameter \(\lambda \) λ ...
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Article
Effects of solder thickness on interface behavior and nanoindentation characteristics in Cu/Sn/Cu microbumps
The thickness of the solder, for Cu/Sn/Cu microbumps with dimensions of tens of microns or even a few microns (such as 40 µm, 15 µm, 10 µm, and 6 µm), can have a significant effect on the interfacial transfer ...
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Article
Blow-Up Phenomena for a Fourth-Order Parabolic Equation with a General Nonlinearity
This paper is concerned with the blow-up property of solutions to an initial boundary value problem for a fourth-order parabolic equation with a general nonlinearity. It is shown, under certain conditions on t...
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Article
A \(p\) -Laplace Equation with Logarithmic Nonlinearity at High Initial Energy Level
In this paper the authors investigate a class of p
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Article
Existence of Solution for a Singular Elliptic Equation of Kirchhoff Type
We study both the existence and uniqueness of nonnegative solution to a singular elliptic problem of Kirchhoff type, whose model is: $...
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Article
Open AccessBlow-up of solutions to a viscoelastic parabolic equation with positive initial energy
In this paper, a semilinear viscoelastic parabolic equation with nonlinear boundary flux is studied. Due to the comparison principle being invalid, potential well method and concavity argument are used to prov...
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Article
Long-Time Behavior of Solutions to a Class of Parabolic Equations with Nonstandard Growth Condition
In this paper, the author studies the long-time behavior of solutions to the p(x)-Laplace equation $$u_t=\mathrm {div}(|\nabla u|^{p(x...
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Article
Purification and Identification of Two Antifungal Cyclic Peptides Produced by Bacillus amyloliquefaciens L-H15
Bacillus amyloliquefaciens L-H15 with broad spectrum antifungal activity was used as a biocontrol agent to suppress Fusarium oxysporum and other soil-borne fungal plant pathogens. Two ant...
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Article
Open AccessCompatibility conditions for the existence of weak solutions to a singular elliptic equation
This paper deals with the existence of positive solutions to the singular elliptic boundary value problem involving p-Laplace operator ...
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Article
Open AccessCritical extinction exponents for a fast diffusion equation with nonlocal source and absorption
In this article, the authors apply the super-solution and sub-solution methods, instead of energy estimate methods, to investigate the critical extinction exponents for a fast diffusion equation with a nonloca...
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Article
Extinction for a fast diffusion equation with a nonlinear nonlocal source
In this article, the authors establish conditions for the extinction of solutions, in finite time, of the fast diffusion equation $${u_t=\Delt...
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Article
Global Existence and Blow-Up for a Class of Degenerate Parabolic Systems with Localized Source
This paper deals with a class of localized and degenerate quasilinear parabolic systems $$u_t=f(u)(\Delta u+av(x_0,t)),\qquad v_t=g(v...
