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Sobolev Inequalities for Weighted Gradients
Communications in Partial Differential Equations, 2006We study symmetry, existence, and uniqueness properties of extremal functions for the weighted Sobolev inequality where x ∈ ℝ m , y ∈ ℝ k with m,k ≥ 1 and n = m + k, α > 0, and Q = m + k(α + 1).
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Generalized Sobolev Inequality
1999In this chapter we investigate the subconformal case 1 < p < n. The conformai case is delayed to Chapter 12. The corresponding semilinear problems have been studied with S. Muller [55].
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Limiting Case of the Sobolev Inequality in BMO,¶with Application to the Euler Equations
Communications in Mathematical Physics, 2000Yasushi Taniuchi
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The general optimal Lp-Euclidean logarithmic Sobolev inequality by Hamilton–Jacobi equations
Journal of Functional Analysis, 2003Ivan Gentil
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Sobolev’s inequality for double phase functionals with variable exponents
Forum Mathematicum, 2019Takao Ohno, Tetsu Shimomura
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