Results 11 to 20 of about 133,406 (258)
Regularizing Properties of Nonlinear Semigroups [PDF]
Proceedings of the American Mathematical Society, 1987 It is known that some classes of m m -accretive operators A A generate Lipschitz continuous semigroups of contractions; that is | | S ( t + h ) x − S ( t ) x |
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Positive solutions for $(p,2)$-equations with superlinear reaction and a concave boundary term
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We consider a nonlinear boundary value problem driven by the $(p,2)$-Laplacian, with a $(p-1)$-superlinear reaction and a parametric concave boundary term (a "concave-convex" problem).
Nikolaos Papageorgiou, Andrea Scapellato
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Nonlinear elliptic boundary value problems with convection term and Hardy potential
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we deal with a nonlinear elliptic problems that incorporate a Hardy potential and a nonlinear convection term. We establish the existence and regularity of solutions under various assumptions concerning the summability of the source term f.
Achhoud Fessel +2 more
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Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D [PDF]
, 2007 We prove global existence for a nonlinear Smoluchowski equation (a nonlinear Fokker-Planck equation) coupled with Navier-Stokes equations in two dimensions.
B. Jourdain +18 more
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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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Condensed Matter Physics, 2006 We study the regularity problems for unbounded spin systems of anharmonic oscillators, that approximate multi-dimensional Euclidean field theories. The main attention is paid to the effect of anharmonism on the C∞-regularity properties of evolutional ...
Alexander Val. Antoniouk +1 more
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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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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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Second-order $L^2$-regularity in nonlinear elliptic problems [PDF]
, 2017 A second-order regularity theory is developed for solutions to a class of quasilinear elliptic equations in divergence form, including the $p$-Laplace equation, with merely square-integrable right-hand side. Our results amount to the existence and square
A Alvino +51 more
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