Results 21 to 30 of about 15,291 (210)
Optimal partial regularity for very weak solutions to a class of nonlinear elliptic systems
Journal of Inequalities and Applications, 2023 We consider optimal partial regularity for very weak solutions to a class of nonlinear elliptic systems and obtain the general criterion for a very weak solution to be regular in the neighborhood of a given point.
Shuhong Chen, Zhong Tan
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Concave-Convex Problems for the Robin p-Laplacian Plus an Indefinite Potential
Mathematics, 2020 We consider nonlinear Robin problems driven by the p-Laplacian plus an indefinite potential. In the reaction, we have the competing effects of a parametric concave (that is, ( p − 1 ) -sublinear) term and of a convex (that is, ( p −
Nikolaos S. Papageorgiou +1 more
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A multiplicity theorem for parametric superlinear (p,q)-equations [PDF]
Opuscula Mathematica, 2020 We consider a parametric nonlinear Robin problem driven by the sum of a \(p\)-Laplacian and of a \(q\)-Laplacian (\((p,q)\)-equation). The reaction term is \((p-1)\)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition.
Florin-Iulian Onete +2 more
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Constant sign and nodal solutions for nonlinear Robin equations with locally defined source term
Mathematical Modelling and Analysis, 2020 We consider a parametric Robin problem driven by a nonlinear, nonhomogeneous differential operator which includes as special cases the p-Laplacian and the (p,q)-Laplacian. The source term is parametric and only locally defined (that is, in a neighborhood
Nikolaos S. Papageorgiou +2 more
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Solutions of Smooth Nonlinear Partial Differential Equations
Abstract and Applied Analysis, 2011 The method of order completion provides a general and type-independent theory for the existence and basic regularity of the solutions of large classes of systems of nonlinear partial differential equations (PDEs). Recently, the application of convergence
Jan Harm van der Walt
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Two-dimensional magnetohydrodynamic turbulence in the limits of infinite and vanishing magnetic Prandtl number [PDF]
, 2013 LAKB was supported by an EPSRC post-graduate studentship.We study both theoretically and numerically two-dimensional magnetohydrodynamic turbulence at infinite and zero magnetic Prandtl number $Pm$ (and the limits thereof), with an emphasis on solution ...
Tran, Chuong Van +2 more
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Nonlinear Eigenvalue Problems for the Dirichlet (p,2)-Laplacian
Axioms, 2022 We consider a nonlinear eigenvalue problem driven by the Dirichlet (p,2)-Laplacian. The parametric reaction is a Carathéodory function which exhibits (p−1)-sublinear growth as x→+∞ and as x→0+.
Yunru Bai +2 more
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Journal of Inequalities and Applications, 2010 We consider the interior regularity for weak solutions of second-order nonlinear elliptic systems with subquadratic growth under natural growth condition.
Shuhong Chen, Zhong Tan
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Regular families of kernels for nonlinear approximation
Journal of Mathematical Analysis and Applications, 2019 This article studies sufficient conditions on families of approximating kernels which provide $N$--term approximation errors from an associated nonlinear approximation space which match the best known orders of $N$--term wavelet expansion. These conditions provide a framework which encompasses some notable approximation kernels including splines, so ...
Keaton Hamm, Jeff Ledford
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Lipschitz Regularity for a Homogeneous Doubly Nonlinear PDE [PDF]
SIAM Journal on Mathematical Analysis, 2019 We study the doubly nonlinear PDE $$ |\partial_t u|^{p-2}\,\partial_t u-\textrm{div}(|\nabla u|^{p-2}\nabla u)=0. $$ This equation arises in the study of extremals of Poincaré inequalities in Sobolev spaces. We prove spatial Lipschitz continuity and Hölder continuity in time of order $(p-1)/p$ for viscosity solutions. As an application of our estimates,
Hynd, Ryan, Lindgren, Erik
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