Boundedness and Hölder continuity of weak solutions of the nonlinear boundary-value problem for elliptic equations with general nonstandard growth conditions

We study a nonlinear boundary-value problem for elliptic equations with critical growth conditions involving Lebesgue measurable functions. We prove global boundedness and Hölder continuity of weak solutions for this problem. Our results generalize the ones obtained by P. Winkert and his colleagues...

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Bibliographic Details
Main Authors: Gumpyong Ri, Dukman Ri
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2025-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:https://mb.math.cas.cz/full/150/2/mb150_2_1.pdf
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