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Acta Mathematica Vietnamica

A NON-HOMOGENEOUS P-LAPLACE EQUATION IN BORDER CASE

PHAM XUAN DU, DUONG MINH DUC

Abstract

Searching minimizers of functions on the convenient level set of the constraint function we obtain generalized solutions of a non-homogeneous p-Laplace equation in border case without using the regularity results of linear elliptic equations.