The maximum principle with lack of monotonicity [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We establish a maximum principle for the weighted $(p,q)$-Laplacian, which extends the general Pucci–Serrin strong maximum principle to this quasilinear abstract setting.
Patrizia Pucci, Vicenţiu Rădulescu
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On the maximum principle for viscosity solutions of fully nonlinear elliptic equations in general domain [PDF]
Le Matematiche, 2007 We analyze the validity of the Maximum Principle for viscosity solutions of fully nonlinear second order elliptic equations in general unbounded domains under suitable structure conditions on the equation allowing notably quadratic growth in the gradient
I. Capuzzo Dolcetta, A. Vitolo
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Maximum principle and existence of positive solutions for nonlinear systems involving degenerate p-Laplacian operators [PDF]
Electronic Journal of Differential Equations, 2007 We study the maximum principle and existence of positive solutions for the nonlinear system egin{gather*} -Delta _{p,_{P}}u=a(x)|u|^{p-2}u+b(x)|u|^{alpha }|v|^{eta }v+f quad ext{in } Omega , \ -Delta _{Q,q}v=c(x)|u|^{alpha }|v|^{eta }u+d(x)|v|^{q-2}v+g
Salah A. Khafagy, Hassan M. Serag
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The Maximum Entropy Production Principle: Its Theoretical Foundations and Applications to the Earth System [PDF]
, 2010 The Maximum Entropy Production (MEP) principle has been remarkably successful in producing accurate predictions for non-equilibrium states. We argue that this is because the MEP principle is an effective inference procedure that produces the best ...
Dyke, J. G., Kleidon, A.
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The geometry of the solution set of nonlinear optimal control problems [PDF]
, 2005 In an optimal control problem one seeks a time-varying input to a dynamical systems in order to stabilize a given target trajectory, such that a particular cost function is minimized.
Osinga, HM, Hauser, J
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Sufficient Stochastic Maximum Principle in a Regime-Switching Diffusion Model [PDF]
, 2011 We prove a sufficient stochastic maximum principle for the optimal control of a regime-switching diffusion model. We show the connection to dynamic programming and we apply the result to a quadratic loss minimization problem, which can be used to solve a
Catherine Donnelly, Donnelly, Catherine
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A Variational Framework for Nonlinear Chemical Thermodynamics Employing the Maximum Energy Dissipation Principle. [PDF]
, 2009 Maximum energy dissipation principle is employed to nonlinear chemical thermodynamics in terms of distance variable (general displacement) from the global equilibrium, applyong the optimal control interpretation to develop a variational formulation.
Moroz, Adam, Adam Moroz
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Lagrangian submanifolds generated by the Maximum Entropy Principle [PDF]
, 2004 We show that the Maximum Entropy principle (E.T. Jaynes, [8]) has a natural description in terms of Morse Families of a Lagrangian submanifold. This geometric approach becomes useful when dealing with the M.E.P. with nonlinear constraints.
FAVRETTI, MARCO, Marco Favretti
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A sufficient condition for null controllability of nonlinear control systems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2009 Classical control methods such as Pontryagin Maximum Principle and Bang-Bang Principle and other methods are not usually useful for solving opti-mal control systems (OCS) specially optimal control of nonlinear systems (OCNS).
A. Heydari, A.V. Kamyad
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A Note on the Strong Maximum Principle for Fully Nonlinear Equations on Riemannian Manifolds [PDF]
The Journal of Geometric Analysis, 2021 Abstract We investigate strong maximum (and minimum) principles for fully nonlinear second-order equations on Riemannian manifolds that are non-totally degenerate and satisfy appropriate scaling conditions. Our results apply to a large class of nonlinear operators, among which Pucci’s extremal operators, some ...
Goffi, A, Pediconi, F
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