Sobolev–Dirichlet problem for quasilinear elliptic equations in generalized Orlicz–Sobolev spaces
Sign Up to like & getrecommendations! Published in 2020 at "Positivity"
DOI: 10.1007/s11117-020-00789-z
Abstract: In this paper, we prove existence, uniqueness, and local regularity of the solution to the Sobolev–Dirichlet problem for quasilinear elliptic equations in the generalized Orlicz–Sobolev spaces on domains, not necessarily bounded, of $${\mathbb {R}}^N$$ .… read more here.
Keywords: sobolev dirichlet; dirichlet problem; elliptic equations; problem quasilinear ... See more keywords
On the initial-boundary value problem for some quasilinear parabolic equations of divergence form
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.08.056
Abstract: Abstract In this paper we give an existence theorem of global classical solution to the initial boundary value problem for the quasilinear parabolic equations of divergence form u t − div { σ ( |… read more here.
Keywords: initial boundary; quasilinear parabolic; value problem; boundary value ... See more keywords