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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
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
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
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 $$u_t=\mathrm {div}(|\nabla u|^{p(x...
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Article
Global Existence and Blow-Up for a Class of Degenerate Parabolic Systems with Localized Source
This paper deals with a class of localized and degenerate quasilinear parabolic systems $$u_t=f(u)(\Delta u+av(x_0,t)),\qquad v_t=g(v...