Existence of solutions for quasilinear elliptic equations involving a nonlocal term. (English) Zbl 1331.35137
From the abstract: “This article establishes the existence of solutions for a partial differential equation involving a quasilinear elliptic operator and a nonlocal term. The proofs of the main results are based on Schauder’s fixed point theorem combined with variational arguments.”
Reviewer: Alessandro Selvitella (Hamilton)
MSC:
35J62 | Quasilinear elliptic equations |
35D30 | Weak solutions to PDEs |
47J30 | Variational methods involving nonlinear operators |
58E05 | Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces |