Acta Mathematica Vietnamica
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NON-EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC PROBLEMS IN BOUNDED DOMAINS
TRINH THI MINH HANG, HOANG QUOC TOANpp. 173-182
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.