Semiclassical analysis for highly degenerate potentials
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Publication:5431676
DOI10.1090/S0002-9939-07-09076-4zbMath1136.35059MaRDI QIDQ5431676
Julián López-Gómez, Pablo Álvarez-Caudevilla
Publication date: 20 December 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
compact Riemannian manifoldsground statefundamental energyclassical conjecture of B. Simonhighly degenerate potentials
Estimates of eigenvalues in context of PDEs (35P15) Potential theory on Riemannian manifolds and other spaces (31C12)
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Cites Work
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- Dual semigroups and second order linear elliptic boundary value problems
- Semiclassical analysis of low lying eigenvalues. IV. The flea on the elephant
- Superconvexity of the spectral radius, and convexity of the spectral bound and the type
- The maximum principle for cooperative weakly coupled elliptic systems and some applications
- Elliptic partial differential equations of second order
- Perturbation theory for linear operators.
- Some remarks on classical problems and fine properties of Sobolev spaces
- The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Semiclassical analysis of general second order elliptic operators on bounded domains
- Continuous dependence of eigenvalues on the domain
- Bounds of eigenfunctions of the Laplacian on compact Riemannian manifolds
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