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Existence of solutions to a class of nonlinear elliptic boundary value problems with singular convective terms. (English) Zbl 1232.35074

The author considers a class of nonlinear elliptic boundary value problems and proves an auxiliary result, using the Lax-Miigram theorem. Finally the author obtains the existence of solutions by using Schaefer’s fixed point theorem.
Reviewer: Jiaqi Mo (Wuhu)

MSC:

35J66 Nonlinear boundary value problems for nonlinear elliptic equations
35J60 Nonlinear elliptic equations
35A01 Existence problems for PDEs: global existence, local existence, non-existence
35J25 Boundary value problems for second-order elliptic equations