Differential equations of divergence form in Musielak-Sobolev spaces and a sub-supersolution method

By Xianling Fan. 2012

63 citations recorded by the source corpus.

Abstract We study some properties of differential operators of divergence form in Musielak–Sobolev spaces and establish a sub-supersolution method for differential equations of divergence form with homogeneous Neumann or Dirichlet boundary condition in Musielak–Sobolev spaces.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/64989763db24d03acd229efc32e4f12a351aa020

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In Applied Mathematics

1. Iwona Chlebicka
2. Paolo Marcellini

In Computational Theory and Mathematics

1. Iwona Chlebicka
2. Paolo Marcellini

Citations in the corpus

• A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces (2018, background): “In [92, 117, 147] isotropic, separable and reflexive Musielak-Orlicz spaces are employed, [81] studies separable, but not reflexive Musielak-Orlicz spaces, while in anisotropic and non-reflexive Musielak-Orlicz spaces in [106, 112, 113].”