A Weighted Trudinger–Moser Inequality on ℝN and Its Application to Grushin Operator
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10114-020-9122-x.pdf
Reference37 articles.
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2. Balogh, Z. M., Holopainen, I., Tyson, J. T.: Singular solutions, homogeneous norms and quasiconformal mappings on Carnot groups. Math. Ann., 324(1), 159–186 (2002)
3. Balogh, Z. M., Manfredi, J. J., Tyson, J. T.: Fundamental solution for the Q-Laplacian and sharp Moser–Trudinger inequality in Carnot groups. J. Funct. Anal., 204(1), 35–49 (2003)
4. Balogh, Z. M., Tyson, J. T.: Polar coordinates on Carnot groups. Math. Z., 241(4), 697–730 (2002)
5. Beckner, W.: On the Grushin operator and hyperbolic symmetry. Proc. Amer. Math. Soc., 129, 1233–1246 (2001)
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1. Existence of the solution for a class of the semilinear degenerate elliptic equation involving the Grushin operator in R2$\mathbb {R}^2$: The interaction between Grushin's critical exponent and exponential growth;Mathematische Nachrichten;2023-09-19
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