Photo from archive.org
In an $$n$$ -dimensional bounded domain $$\Omega_n$$ , $$n\ge 2$$ , we prove the Steklov–Poincare inequality with the best constant in the case where $$\Omega_n$$ is an $$n$$ -dimensional ball.… Click to show full abstract
In an $$n$$ -dimensional bounded domain $$\Omega_n$$ , $$n\ge 2$$ , we prove the Steklov–Poincare inequality with the best constant in the case where $$\Omega_n$$ is an $$n$$ -dimensional ball. We also consider the case of an unbounded domain with finite measure, in which the Steklov–Poincare inequality is proved on the basis of a Sobolev inequality.
Keywords:
steklov poincar;
remark steklov;
steklov;
inequality;
poincar inequality
Journal Title: Mathematical Notes
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematical Notes
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!