Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities

DOI10.1016/j.jfa.2019.108302zbMath1435.35142arXiv1902.00958OpenAlexW2969858939WikidataQ127371942 ScholiaQ127371942MaRDI QIDQ2334569

Federica Sani, Kenji Nakanishi, Slim Ibrahim, Nader Masmoudi

Publication date: 7 November 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.00958

zbMATH Keywords

Sobolev critical exponentTrudinger-Moser inequalitymaximizer

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (8)

Anisotropic Trudinger-Moser inequalities associated with the exact growth in \({\mathbb{R}}^N\) and its maximizers ⋮ Maximization problem on Trudinger-Moser inequality involving Lebesgue norm ⋮ Concentration profile, energy, and weak limits of radial solutions to semilinear elliptic equations with Trudinger-Moser critical nonlinearities ⋮ 𝑊^{1,𝑝} approximation of the Moser–Trudinger inequality ⋮ Effect of lower order perturbation on maximization problem associated with Trudinger-Moser inequality ⋮ Critical points of arbitrary energy for the Trudinger-Moser functional in planar domains ⋮ Extremals for fractional Moser-Trudinger inequalities in dimension 1 via harmonic extensions and commutator estimates ⋮ Critical points of the Moser-Trudinger functional on closed surfaces

Cites Work

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