Results 31 to 40 of about 1,150,426 (301)
Quasiconvexity and partial regularity via nonlinear potentials
, 2022 We show how to infer sharp partial regularity results for relaxed minimizers of degenerate, nonuniformly elliptic quasiconvex functionals, using tools from Nonlinear Potential Theory.
De Filippis, C, Cristiana De Filippis
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Regularity for nonlinear elliptic equations and systems
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We study the regularity of weak solutions to the elliptic system in divergence form divA(x, Du)=0 in an open set Ω of R^n, n≥2. The vector field A(x.ξ), A: Ω×R^(m×n)→R^(m×n), has a variational nature in the sense that A(x,ξ)= Dξ f(x,ξ), where f:Ω×R^(m×n)→
Paolo Marcellini
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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-\operatorname{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.
Hynd, Ryan, Lindgren, Erik
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Regularity problem for one class of nonlinear parabolic systems with non-smooth in time principal matrices [PDF]
, 2019 summary:Partial regularity of solutions to a class of second order nonlinear parabolic systems with non-smooth in time principal matrices is proved in the paper.
Arkhipova, Arina A., Stará, Jana
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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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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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Nonlinear vibrations of a mechanical system with non-regular nonlinearities and uncertainties [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2013 This paper presents the concept of the Stochastic Multi-dimensional Harmonic Balance Method (Stochastic-MHBM) in order to solve dynamical problems with non-regular nonlinearities in presence of uncertainties. To treat the nonlinearity in the stochastic and frequency domains, the Alternate Frequency-Time method with Probabilistic Collocation (AFTPC) is ...
Didier, Jérôme +2 more
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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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Boundary pointwise regularity for fully nonlinear parabolic equations and an application to regularity of free boundaries [PDF]
, 2022 In this paper, we prove boundary pointwise $C^{k,\alpha}$ regularity for any $k\geq 1$ for fully nonlinear parabolic equations. As an application, we give a direct and short proof of the higher regularity of the free boundaries in obstacle-type ...
Lian, Yuanyuan, Zhang, Kai
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Positive solutions for (p, q)-equations with convection and a sign-changing reaction
Advances in Nonlinear Analysis, 2021 We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction which is dependent on the gradient. We look for positive solutions and we do not assume that the reaction is nonnegative.
Zeng Shengda, Papageorgiou Nikolaos S.
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