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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.”

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