On the number of critical points of the second eigenfunction of the Laplacian in convex planar domains

Author:

De Regibus FabioORCID,Grossi MassimoORCID

Funder

Francesco Severi National Institute of Higher Mathematics National Group for Mathematical Analysis Probability and their Applications

University of Rome La Sapienza

Publisher

Elsevier BV

Subject

Analysis

Reference20 articles.

1. On the convexity of level lines of the fundamental mode in the clamped membrane problem, and the existence of convex solutions in a related free boundary problem;Acker;Z. Angew. Math. Phys.,1981

2. Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains;Alessandrini;Comment. Math. Helv.,1994

3. Some inequalities for Gaussian measures and the long-range order of the one-dimensional plasma;Brascamp,2002

4. Stable solutions of semilinear elliptic problems in convex domains;Cabré;Sel. Math. New Ser.,1998

5. On the nodal set of the second eigenfunction of the Laplacian in symmetric domains in RN;Damascelli;Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl.,2000

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