Nonlinear elliptic equations by topological degree in Musielak-Orlicz-Sobolev spaces
DOI:
https://doi.org/10.24193/subbmath.2023.4.13Keywords:
Nonlinear elliptic equation, Musielak-Orlicz-Sobolev space, topological degree.Abstract
We prove by using the topological degree theory the existence of at least one weak solution for the nonlinear elliptic equation\[-\text{ div }a_1(x,\nabla u)+ a_0(x, u)= f(x,u,\nabla u)\]
with homogeneous Dirichlet boundary condition in Musielak-Orlicz-Sobolev spaces.
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