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The maximum principle for nonlinear nonconvex systems with set targets
1985 24th IEEE Conference on Decision and Control, 1985Using Ekeland's variational principle ([2]) we obtain a version of Pontryagin's maximum principle for the general input-output systems in infinite dimensional systems defined in §2 below, where trajectories are supposed to hit a "large" set (see the "fat cone condition" in §5) with optimal value of a general cost functional. Unlike infinite dimensional
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A Strong Maximum Principle for General Nonlinear Operators
2023Lucas Fresse, Viorica V. Motreanu
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The maximum principle for systems of nonlinear equations
Mathematica Applicanda, 1976openaire +1 more source
Maximum principles and nonlinear elliptic problems
Journal d'Analyse Mathématique, 1979openaire +2 more sources
A maximum principle for the starshape of solutions of nonlinear Poisson equations
1985Let be \(u\equiv 1\) on \({\bar \Omega}{}_ 1\), \(u=0\) on \(\partial \Omega_ 0\), \(\Omega_ 1\subset \subset \Omega_ 0\) and suppose that u satisfies \(\Delta u=f(x,u ...
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A Maximum Principle for Second Order Nonlinear Differential Inequalities and Its Applications
Applied Mathematics Letters, 1995Cheh-Chih Yeh +2 more
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Construction of Nonlinear Weighted Method for Finite Volume Schemes Preserving Maximum Principle
SIAM Journal of Scientific Computing, 2018Guangwei Yuan, Zhiqiang Sheng
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