Multiple blowing-up solutions for an almost critical anisotropic Lane-Emden problem
Ying Li, Zhongyuan Liu, Peng Luo, Ruixue Yan
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Source: Crossref
Published: Oct 23, 2026
DOI: 10.1142/s0219199726500884
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In this paper, we consider the following almost critical anisotropic Lane-Emden problem [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] is a positive smooth function on [Formula: see text], [Formula: see text] is a bounded smooth domain. We study the effect of anisotropic coefficient [Formula: see text] on the existence of blowing-up solutions. More precisely, we establish the existence of multiple blowing-up solutions under certain hypotheses on critical points of [Formula: see text], which is a significant difference from the isotropic case [Formula: see text] Constant.
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