Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems [PDF]
Communications in Mathematical Physics, 2019 Abstract We study the qualitative behavior of nonlinear Dirac equations arising in quantum field theory on complete Riemannian manifolds. In particular, we derive monotonicity formulas and Liouville theorems for solutions of these equations. Finally, we extend our analysis to Dirac-harmonic maps with curvature term.
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The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces
Discrete Dynamics in Nature and Society, 2013 By introducing new definitions of ϕ convex and -φ concave quasioperator and v0 quasilower and u0 quasiupper, by means of the monotone iterative techniques without any compactness conditions, we obtain the iterative unique solution of nonlinear mixed ...
Hua Su
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On Phi-Pseudo-Monotonicity and Approximation-Solvability of Nonlinear Equations
Journal of Mathematical Analysis and Applications, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Verma, Ram, Debnath, Lokenath
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Inertial-Based Derivative-Free Method for System of Monotone Nonlinear Equations and Application
IEEE Access, 2020 Iterative methods for solving nonlinear problems are of great importance due to their appearance in various areas of applications. In this paper, based on the inertial effect, we propose two projection derivative-free iterative methods for solving system
Aliyu Muhammed Awwal +4 more
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Parabolic Itô equations with monotone nonlinearities
Journal of Functional Analysis, 1978 AbstractIn this paper the equation ut = Lu − F(u) + α(t, ω) is studied, where u(t) ϵ B0 a Banach space. L is an unbounded self-adjoint negative definite operator. F is a monotone nonlinear potential operator. α(t, ω) is a white noise process on B0. With suitable further restrictions on L and F it is proved that the equation has a unique solution. As t →
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The global convergence of some self-scaling conjugate gradient methods for monotone nonlinear equations with application to 3DOF arm robot model. [PDF]
PLoS OneIbrahim SM +7 more
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A Scaled Conjugate Gradient Method for Solving Monotone Nonlinear Equations with Convex Constraints
Journal of Applied Mathematics, 2013 Based on the Scaled conjugate gradient (SCALCG) method presented by Andrei (2007) and the projection method presented by Solodov and Svaiter, we propose a SCALCG method for solving monotone nonlinear equations with convex constraints.
Sheng Wang, Hongbo Guan
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Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we discuss SPK iterative algorithm for approximating fixed point of monotone generalized $\alpha$-nonexpansive mapping in the setting of partially ordered hyperbolic spaces.
Samir Dashputre, Kavita Sakure
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Penalized wavelet monotone regression [PDF]
, 2007 In this paper we focus on nonparametric estimation of a constrained regression function using penalized wavelet regression techniques. This results into a convex op- timization problem under linear constraints.
Irène Gijbels +5 more
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An elliptic equation with no monotonicity condition on the nonlinearity [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2006 Summary: An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a nontrivial solution is proven via variational methods. The domain of the equation is unbounded, which imposes a lack of compactness on the variational problem. In addition, a popular monotonicity condition on the nonlinearity is not assumed.
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