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.
Keywords:
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
