On the Existence of Solutions to Nonlinear Equations Involving Singular Mappings with Non-zero p-Kernel
Agnieszka Prusińska, Alexey A Tret’yakov · Set-Valued and Variational Analysis · 2011
The paper presents the continuation of the previous results devoted to the problem of solutions existence to nonlinear equations in singular case where a linear part of considered mapping determining the equation may be degenerate at the corresponding initial point. We study the case when the p -kernel of the mapping is non trivial. Such type of problems appears in various mathematical models and applications. The p -regularity theory is used in our analysis and some concepts and technics of set-valued approach.