Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states
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Publication:5043836
DOI10.1142/S0219199721500619zbMath1500.35111arXiv1709.08263OpenAlexW3194764661MaRDI QIDQ5043836
Michael Ruzhansky, Nurgissa Yessirkegenov
Publication date: 6 October 2022
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.08263
NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items (3)
Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups ⋮ New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups ⋮ The Sobolev embedding constant on Lie groups
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