Nonlinear elliptic systems with variable boundary data

DOI10.1016/S0362-546X(02)00179-7zbMath1087.35031MaRDI QIDQ1863506

Dorota Bors, Stanislaw Walczak

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Boundary value problemsStabilityNonlinear elliptic equationsContinuous dependence on boundary data

Mathematics Subject Classification ID

Related Items (5)

Models of particles of the Michie-King type ⋮ Dynamical system modeling fermionic limit ⋮ On the continuous dependence of solutions to a fractional Dirichlet problem. The case of saddle points. ⋮ Optimal control of systems governed by fractional Laplacian in the minimax framework ⋮ On Mayer problem for systems governed by second-order ODE

Cites Work

• Critical point theory and Hamiltonian systems
• Minimax theorems
• Dependence of solutions on boundary conditions for second order ordinary differential equations
• Continuous dependence on parameters and boundary data for nonlinear two- point value boundary problems
• Dependence of solutions on boundary data for a system of two ordinary differential equations
• CONTINUOUS DEPENDENCE OF THE SOLUTIONS OF ELUPTIC BWNOARY VALUE PROBLEMS ON THE COEFFICIENTS, RIGHT HAND SIDES AND BOUNDARY CONDITIONS
• Equivalent Norms for Sobolev Spaces
• Set-valued analysis
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