Results 21 to 30 of about 1,150,426 (301)
Boundary pointwise regularity and Liouville theorems for fully nonlinear equations on cones [PDF]
, 2022 In this paper, we prove a boundary pointwise regularity for fully nonlinear elliptic equations on cones.
Lian, Yuanyuan
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An Induction Theorem and Nonlinear Regularity Models
SIAM Journal on Optimization, 2015 A general nonlinear regularity model for a set-valued mapping $F:X\times\mathbb{R}_+\rightrightarrows Y$, where $X$ and $Y$ are metric spaces, is studied using special iteration procedures, going back to Banach, Schauder, Lyusternik, and Graves. Namely, we revise the induction theorem from Khanh [J. Math. Anal. Appl., 118 (1986), pp.
Phan Quoc Khanh +2 more
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Regularized Numerical Methods for the Nonlinear Schrödinger Equation with Singular Nonlinearity
East Asian Journal on Applied Mathematics, 2023 We present different regularizations and numerical methods for the nonlinear Schrödinger equation with singular nonlinearity (sNLSE) including the regularized Lie-Trotter time-splitting (LTTS) methods and regularized Lawson-type exponential integrator (LTEI) methods. Due to the blowup of the singular nonlinearity, i.e., $f(ρ)=ρ^α$ with a fixed exponent
Weizhu Bao, Yue Feng, Ying Ma
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On global regularity of 2D generalized magnetohydrodynamic equations [PDF]
, 2013 In this article we study the global regularity of 2D generalized magnetohydrodynamic equations (2D GMHD), in which the dissipation terms are –ν(–Δ)αu and –κ(–Δ)βb. We show that smooth solutions are global in the following three cases: α≥1/2, β≥1; 0≤α≤1/2,
Tran, Chuong Van +3 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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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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Positive solutions for nonlinear Robin problems with convection
Science, Technology and Innovation, 2021 We consider a Robin problem driven by the p-Laplacian and with a reaction which is gradient dependent (convection). Using truncations and perturbations, we show that the problem has at least one positive smooth solution.
Leszek Gasiński, Nikolaos Papageorgiou
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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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Higher-Order Linearization and Regularity in Nonlinear Homogenization [PDF]
Archive for Rational Mechanics and Analysis, 2020 AbstractWe prove large-scale $$C^\infty $$C∞ regularity for solutions of nonlinear elliptic equations with random coefficients, thereby obtaining a version of the statement of Hilbert’s 19th problem in the context of homogenization. The analysis proceeds by iteratively improving three statements together: (i) the regularity of the homogenized ...
Armstrong, Scott +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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