Dependence on parameters for nonlinear equations -- abstract principles
We provide parameter dependent version of the Browder–Minty Theorem in
case when the solution is unique utilizing different types of
monotonicity and compactness assumptions related to condition (S)2.
Potential equations and the convergence of their Euler action
functionals is also investigated. Applications towards the dependence on
parameters for both potential and non-potenial nonlinear Dirichlet
boundary problems are given.