Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity
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Publication:2128532
DOI10.3934/MINE.2020019zbMath1489.35142arXiv1911.05602OpenAlexW3007108233MaRDI QIDQ2128532
Publication date: 22 April 2022
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.05602
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (4)
Unnamed Item ⋮ Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system ⋮ Symmetry and asymmetry of components for elliptic Gross-Pitaevskii system ⋮ One-dimensional symmetry of solutions to non-cooperative elliptic systems
Cites Work
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- Domain walls in the coupled Gross-Pitaevskii equations
- Phase transition in a Rabi coupled two-component Bose-Einstein condensate
- On a Liouville-type theorem for the Ginzburg-Landau system
- Interface layer of a two-component Bose–Einstein condensate
- Entire solutions with exponential growth for an elliptic system modelling phase separation
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