Results 11 to 20 of about 9,408 (264)
The regularization of nonlinear electrical circuits [PDF]
Recently Smale [1] proposed the question ’under what conditions can an electrical circuit be regularized?’ This note gives a solution to the problem.
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Stochastic Tree Ensembles for Regularized Nonlinear Regression [PDF]
This paper develops a novel stochastic tree ensemble method for nonlinear regression, which we refer to as XBART, short for Accelerated Bayesian Additive Regression Trees. By combining regularization and stochastic search strategies from Bayesian modeling with computationally efficient techniques from recursive partitioning approaches, the new method ...
Jingyu He, P. Richard Hahn
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An Induction Theorem and Nonlinear Regularity Models
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Phan Quoc Khanh +2 more
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Concave-Convex Problems for the Robin p-Laplacian Plus an Indefinite Potential
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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Nonlinear elliptic boundary value problems with convection term and Hardy potential
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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Regularized Numerical Methods for the Nonlinear Schrödinger Equation with Singular Nonlinearity
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 0006, Ying Ma
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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
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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Constant sign and nodal solutions for nonlinear Robin equations with locally defined source term
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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A multiplicity theorem for parametric superlinear (p,q)-equations [PDF]
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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