Existence and compactness for weak solutions to Bellman systems with critical growth

DOI10.3934/dcdsb.2012.17.1729zbMath1255.35106OpenAlexW2313284092MaRDI QIDQ449270

Alain Bensoussan, Miroslav Bulíček, Jens Frehse

Publication date: 12 September 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.1729

zbMATH Keywords

weak solutionBellman equationHamiltoniansstochastic gamesnonlinear elliptic equationsrenormalized sub- and super-solutionsweak lower- and upper- stability

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Applications of stochastic analysis (to PDEs, etc.) (60H30) Weak solutions to PDEs (35D30)

Related Items (4)

A class of impulsive differential variational inequalities in finite dimensional spaces ⋮ Bellman systems with mean field dependent dynamics ⋮ Control and Nash games with mean field effect ⋮ Old and new results in regularity theory for diagonal elliptic systems via blowup techniques

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