The first nonzero eigenvalue of the \((p,q)\)-Laplace system along the inverse mean curvature flow with forced term

DOI10.1016/J.JMAA.2024.128247OpenAlexW4392028686MaRDI QIDQ6126779

Juncheol Pyo, Shyamal Kumar Hui, Apurba Kumar Saha

Publication date: 10 April 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2024.128247

zbMATH Keywords

inverse mean curvature flowgeometric flow\((p,q)\)-Laplace systemeiegnvalue

Mathematics Subject Classification ID

Quasilinear elliptic equations with (p)-Laplacian (35J92) Flows related to mean curvature (53E10)

Cites Work

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• The first eigenvalue of \(p\)-Laplace operator under powers of the \(m\)th mean curvature flow
• Flow by mean curvature of convex surfaces into spheres
• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Forced convex mean curvature flow in Euclidean spaces
• Long-time existence of mean curvature flow with external force fields
• Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field
• Inverse mean curvature flow with forced term
• Simplicity and stability of the first eigenvalue of a nonlinear elliptic system
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• First eigenvalues of geometric operators under the Ricci flow
• Monotonicity of first eigenvalues along the Yamabe flow
• Evolution of the first eigenvalue along the inverse mean curvature flow in space forms

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