Improved Adams-type inequalities and their extremals in dimension 2m
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Publication:5002167
DOI10.1142/S0219199720500431zbMath1473.35177arXiv1711.00892OpenAlexW3104816633MaRDI QIDQ5002167
Azahara DelaTorre, Gabriele Mancini
Publication date: 27 July 2021
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.00892
Critical exponents in context of PDEs (35B33) Higher-order elliptic equations (35J30) Blow-up in context of PDEs (35B44) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (8)
Nonexistence of extremals for a Trudinger-Moser inequality on a Riemann surface with boundary ⋮ Existence and non-existence of extremals for critical Adams inequality in any even dimension ⋮ Estimate for concentration level of the Adams functional and extremals for Adams-type inequality ⋮ Existence and nonexistence of extremals for critical Adams inequalities in \(\mathbb{R}^4\) and Trudinger-Moser inequalities in \(\mathbb{R}^2\) ⋮ Critical and supercritical Adams' inequalities with logarithmic weights ⋮ Equivalence of subcritical and critical Adams inequalities in \(W^{m,2}(\mathbb{R}^{2m})\) and existence and non-existence of extremals for Adams inequalities under inhomogeneous constraints ⋮ Attainability of second order Adams inequalities with Navier boundary conditions ⋮ Unnamed Item
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