Abstract
The main aim of this paper is to study and establish some new coincidence point and common fixed point theorems for solutions of the stationary Schrodinger equation on cones. An interesting application is to investigate the existence and uniqueness for solutions of the Dirichlet problem with respect to the Schrodinger operator on cones and the growth property of them.
Highlights
The main aim of this paper is to study and establish some new coincidence point and common fixed point theorems for solutions of the stationary Schrödinger equation on cones
We introduce a system of spherical coordinates (r, ), = (θ, θ, . . . , θn– ), in Rn which
T We shall say that a set E ⊂ Cn( ) has a covering {rj, rj –α V (Rj)} if there exists a sequence of balls
Summary
E distance from the origin to the center of Bj. Let Cn( ) be an arbitrary domain in Rn and Aa denote the class of nonnegative radial. ≤ a(P) = a(r), P = (r, ) ∈ Cn( ), such that a ∈ Lbloc(Cn( )) with some b > n/ if n ≥ and with b = if n = or n =
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
