\(H\)-bubbles in a perturbative setting: the finite-dimensional reduction method
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Publication:707456
DOI10.1215/S0012-7094-04-12232-8zbMath1079.53012MaRDI QIDQ707456
Paolo Caldiroli, Roberta Musina
Publication date: 9 February 2005
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Existence theories for free problems in two or more independent variables (49J10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Convergence of solutions of H-systems or how to blow bubbles
- Isoperimetric inequalities and the problem of Plateau
- Multiple solutions to the Plateau problem for nonconstant mean curvature
- \(H\)-bubbles with prescribed large mean curvature
- A remark on compact \(H\)-surfaces into \(\mathbb{R}^3\)
- Elliptic variational problems in \(\mathbb{R}^N\) with critical growth
- Existence of \(H\)-bubbles in a perturbative setting
- A multiplicity result for the Yamabe problem on \(S^n\)
- The role of the spectrum of the Laplace operator on \(\mathbb S^2\) in the \(\mathcal H\) bubble problem
- Asymptotic Morse theory for the equation \(\Delta v- 2v_x\wedge v_y\)
- Multiple solutions ofH-systems and Rellich's conjecture
- Estimations of the best constant involving the L2norm in Wente's inequality and compact H-surfaces in Euclidean space
- Variational perturbative methods and bifurcation of bound states from the essential spectrum
- EXISTENCE OF MINIMAL H-BUBBLES
- On the asymptotic analysis of \(H\)-systems. I: Asymptotic behavior of large solutions.
- On the asymptotic analysis of \(H\)-systems. II: The construction of large solutions
