Nodal Blow-Up Solutions to Slightly Subcritical Elliptic Problems with Hardy-Critical Term
The paper is concerned with the slightly subcritical elliptic problem with Hardy-critical ...
Bartsch Thomas, Guo Qianqiao
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Necessary and Sufficient Condition for Finite Time Blow up of the Solutions to Sixth Order Double Dispersive Equations [PDF]
[Kutev N.; Kutev Nikolai; Кутев Николай]; [Kolkovska N.; Кольковска Н.]; [Dimova M.; Димова М.]The nonlinear double dispersive equation of sixth order with linear restoring force is investigated. Necessary and sufficient condition for finite time blow up
Dimova, M., Kutev, N., Kolkovska, N.
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Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
Our purpose of this paper is to study positive solutions of Lane-Emden ...
Ma Yong, Wang Ying, Ledesma César T.
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Application of the Improved Concavity Method to Sixth Order Boussinesq Equations with Arbitrary High Initial Energy [PDF]
[Kutev N.; Kutev Nikolai; Кутев Николай]; [Dimova M.; Димова М.]; [Kolkovska N.; Кольковска Н.]Finite time blow up of the solutions to sixth order Boussinesq equation with arbitrary positive initial energy is proved. An improved variant of the concavity
Dimova, M., Kutev, N., Kolkovska, N.
core
This article is concerned with the singularity formation of smooth solutions for a nonhomogeneous hyperbolic system arising in magnetohydrodynamics. The system owns four linearly degenerate characteristic fields that influence each other in the relations
Hu Yanbo, Zeng Ying
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Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay
We study the Euler-Bernoulli equations with time delay: utt+Δ2u−g1∗Δ2u+g2∗Δu+μ1ut(x,t)∣ut(x,t)∣m−2+μ2ut(x,t−τ)∣ut(x,t−τ)∣m−2=f(u),{u}_{tt}+{\Delta }^{2}u-{g}_{1}\ast {\Delta }^{2}u+{g}_{2}\ast \Delta u+{\mu }_{1}{u}_{t}\left(x,t){| {u}_{t}\left(x,t ...
Lin Rongrui, Gao Yunlong, She Lianbing
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A-priori bounds for quasilinear problems in critical dimension
We establish uniform a-priori bounds for solutions of the quasilinear ...
Romani Giulio
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The initial-value problem for a Gardner-type equation
Discussed here is a regularized version(0.1)ut+ux+uux+Au2ux−uxxt=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}-{u}_{\mathit{xxt}}=0,$$ of the classical Gardner equationut+ux+uux+Au2ux+uxxx=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}+{u}_{\mathit{xxx ...
Bona Jerry +4 more
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Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation
In this paper we study the existence as well as uniform decay rates of the energy associated with the nonlinear damped Schrödinger equation,
Cavalcanti Marcelo M. +1 more
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Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator
In this note, we study a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear pseudo-parabolic equation for the Baouendi-Grushin operator.
Dukenbayeva Aishabibi
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