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Interpolation inequalities for weak solutions of nonlinear parabolic systems
The authors investigate differentiability of the solutions of nonlinear parabolic systems of order 2 m in divergence form of the following type ∑ | α | ≤ m ( - 1 ) | α | D α a α X , D u +
Floridia Giuseppe, Ragusa Maria
doaj
Synchronized vector solutions for the nonlinear Hartree system with nonlocal interaction
We are concerned with the following nonlinear Hartree system−Δu+P1(|x|)u=α1|x|−1∗u2u+β|x|−1∗v2u inR3,−Δv+P2(|x|)v=α2|x|−1∗v2v+β|x|−1∗u2v inR3, $$\begin{cases}-{\Delta}u+{P}_{1}\left(\vert x\vert \right)u={\alpha }_{1}\left(\vert x{\vert }^{-1}\ast {u}^{2}
Gao Fashun, Yang Minbo, Zhao Shunneng
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Gradient estimates and Liouville-type theorems for a weighted nonlinear elliptic equation. [PDF]
Ma B, Dong Y.
europepmc +1 more source
Global and exponential attractors for a Caginalp type phase-field problem
Bangola Brice
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Charge Transport Systems with Fermi-Dirac Statistics for Memristors. [PDF]
Herda M, Jüngel A, Portisch S.
europepmc +1 more source
The Kotake-Narasimhan theorem in general ultradifferentiable classes. [PDF]
Fürdös S.
europepmc +1 more source
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A perturbation result in prescribing scalar curvature on Sn
Duke Mathematical Journal, 1991Paul Yang, Sun-Yung A Chang
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