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Acta Mathematica Vietnamica

NON-EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC PROBLEMS IN BOUNDED DOMAINS

TRINH THI MINH HANG, HOANG QUOC TOAN

Abstract

In the present paper, by using variational arguments, we prove the non-existence, multiplicity of positive solutions to a system of $p$-Laplace equations of gradient form with nonlinear boundary conditions.