Resonances and eigenvalues for the constant mean curvature equation

DOI10.1007/S10013-023-00633-3zbMath1530.35026arXiv2210.04580OpenAlexW4382072002MaRDI QIDQ6185762

Sagun Chanillo

Publication date: 8 January 2024

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.04580

zbMATH Keywords

eigenvaluesresonancesdispersive estimatesmean curvature equation\(H\)-systems

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Scattering theory for PDEs (35P25) Resonance in context of PDEs (35B34) Quasilinear elliptic equations with mean curvature operator (35J93)

Cites Work

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• Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
• Convergence of solutions of H-systems or how to blow bubbles
• Wave equations associated to Liouville systems and constant mean curvature equations
• Almost sure boundedness of iterates for derivative nonlinear wave equations
• Absence of self-similar blow-up and local well-posedness for the constant mean-curvature wave equation
• Asymptotic Morse theory for the equation \(\Delta v- 2v_x\wedge v_y\)
• Multiple solutions ofH-systems and Rellich's conjecture
• [https://portal.mardi4nfdi.de/wiki/Publication:4072204 The Differential Equation Δx = 2H(x u � x ν ) with Vanishing Boundary Values]
• On the focusing critical semi-linear wave equation

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