EXISTENCE OF THREE WEAK SOLUTIONSFOR THE KIRCHHOFF-TYPE PROBLEMWITH MIXED BOUNDARY CONDITION INA VARIABLE SOBOLEV SPACE
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Abstract
In this paper, we consider the Kirchhoff-type problem for a class of
nonlinear operators containing
p
(
·
)-Laplacian and mean curvature oper-
ator with mixed boundary conditions. More precisely, we are concerned
with the problem with the Dirichlet condition on a part of the boundary
and the Steklov boundary condition on an another part of the bound-
ary. We show the existence of at least three weak solutions according to
hypotheses on given functions and values of parameters
nonlinear operators containing
p
(
·
)-Laplacian and mean curvature oper-
ator with mixed boundary conditions. More precisely, we are concerned
with the problem with the Dirichlet condition on a part of the boundary
and the Steklov boundary condition on an another part of the bound-
ary. We show the existence of at least three weak solutions according to
hypotheses on given functions and values of parameters
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