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KIAM Preprint  69, Moscow, 2018
Authors: Surnachev M. D.
On Harnacks inequality for p(x)-Laplacian
In this note we prove a Harnack inequality for nonnegative solutions to elliptic p(x)-Laplacian and find conditions on the modulus of continuity of the exponent p at a given point which guarantee the continuity of solutions at this point.
p(x)-Laplacian, variable exponent, Harnack inequality, continuity of solutions
Publication language: russian,  pages: 32
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Surnachev Mikhail Dmitriyevich, RAS