Results 41 to 50 of about 15,291 (210)
On the set of positive solutions for resonant Robin (p, q)-equations
Advances in Nonlinear Analysis, 2021 We consider a nonlinear Robin problem driven by the (p, q)-Laplacian and a parametric reaction exhibiting the competition of a concave term and of a resonant perturbation.
Papageorgiou Nikolaos S., Zhang Youpei
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A regularity criterion for the three-dimensional micropolar fluid system in homogeneous Besov spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2016 By establishing a new trilinear estimate, we show a regularity criterion for the three dimensional micropolar fluid system via the velocity in homogeneous Besov spaces. This improves [B. Q. Dong, Z. L.
Zujin Zhang
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Intermittency and regularity issues in 3D Navier-Stokes turbulence [PDF]
, 2005 Two related open problems in the theory of 3 D Navier-Stokes turbulence are discussed in this paper. The first is the phenomenon of intermittency in the dissipation field.
Gibbon, J. D. +5 more
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Positive Solutions for Resonant (p, q)-equations with convection
Advances in Nonlinear Analysis, 2020 We consider a nonlinear parametric Dirichlet problem driven by the (p, q)-Laplacian (double phase problem) with a reaction exhibiting the competing effects of three different terms. A parametric one consisting of the sum of a singular term and of a drift
Liu Zhenhai, Papageorgiou Nikolaos S.
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Nonlinear Parabolic Equations with Regularized Derivatives
Journal of Mathematical Analysis and Applications, 1999 Nonlinear systems of differential equations \[ \partial_tu+\partial_xf(u)+g(u)=\Delta u\tag{1} \] are considered on \(\mathbb R_+^{n+1}\) \((t>0)\), where \(u=(u_1,\dots,u_m)^T\), \(f(u)=(f_1(u),\dots,f_n(u))^T\), \(\partial_xf(u)=\sum_{i=1}^n\partial_{x_i}f_i(u)\).
Wang, Y.G., Oberguggenberger, M.
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Concerning the pathological set in the context of probabilistic well-posedness
Comptes Rendus. Mathématique, 2021 We prove a complementary result to the probabilistic well-posedness for the nonlinear wave equation. More precisely, we show that there is a dense set $S$ of the Sobolev space of super-critical regularity such that (in sharp contrast with the ...
Sun, Chenmin, Tzvetkov, Nikolay
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Combined Sparse Regularization for Nonlinear Adaptive Filters [PDF]
2018 26th European Signal Processing Conference (EUSIPCO), 2018 This is a corrected version of the paper presented at EUSIPCO 2018 and published on IEEE https://ieeexplore.ieee.org/document ...
Comminiello, D +4 more
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Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient
Electronic Journal of Differential Equations, 2018 The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition.
Yunru Bai
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A note on regularity for nonlinear elliptic systems [PDF]
, 2000 summary:The $L^{2,\lambda }$ - regularity of the gradient of weak solutions to nonlinear elliptic systems is ...
Daněček, Josef, Viszus, Eugen
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High regularity of the solution of a nonlinear parabolic boundary-value problem
Electronic Journal of Differential Equations, 2002 The aim of this paper is to report some results concerning high regularity of the solution of a nonlinear parabolic problem with a linear parabolic differential equation in one spatial dimension and nonlinear boundary conditions.
Luminita Barbu +2 more
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