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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… Click to show full 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 $${\mathbb {R}}^N$$ . Our approach is based on solving the obstacle problem and using the Harnack inequality.
Keywords:
sobolev dirichlet;
dirichlet problem;
elliptic equations;
problem quasilinear;
problem;
quasilinear elliptic
Journal Title: Positivity
Year Published: 2020
Link to full text (if available)
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Journal Title: Positivity
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!