6 Result(s)
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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
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
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
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
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...
