Energy asymptotics in the Brezis-Nirenberg problem: the higher-dimensional case
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Publication:2099373
DOI10.3934/mine.2020007OpenAlexW2993124649MaRDI QIDQ2099373
Tobias König, Hynek Kovařík, Rupert L. Frank
Publication date: 23 November 2022
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.11036
Singular perturbations in context of PDEs (35B25) Variational methods for second-order elliptic equations (35J20)
Related Items (3)
Energy asymptotics in the three-dimensional Brezis-Nirenberg problem ⋮ Positive solutions of the Gross–Pitaevskii equation for energy critical and supercritical nonlinearities ⋮ Critical functions and blow-up asymptotics for the fractional Brezis-Nirenberg problem in low dimension
Cites Work
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- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
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- On the Location of Blow up Points of Least Energy Solutions to the Brezis-Nirenberg Equation
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- Minimum Value for c in the Sobolev Inequality $\| {\phi ^3 } \|\leqq c\| {\nabla \phi } \|^3 $
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