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We prove the existence of ground state positive solutions for a class ofsemipositone $p$-Laplacian problems with a critical growth reaction term. Theproofs are established by obtaining crucial uniform $C^{1,\alpha}$ a prioriestimates and by concentration compactness arguments. Our results are new evenin the semilinear case $p = 2$.

A class of semipositone $p$-Laplacian problems with a critical growth reaction term