Free Access
Issue |
ESAIM: COCV
Volume 21, Number 2, April-June 2015
|
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Page(s) | 359 - 371 | |
DOI | https://doi.org/10.1051/cocv/2014016 | |
Published online | 10 October 2014 |
- L. Barbosa and P. Bérard, Eigenvalue and “Twisted” eigenvalue problems, applications to CMC surfaces. J. Math. Pures Appl. 79 (2000) 427–450. [CrossRef] [Google Scholar]
- B. Brandolini, P. Freitas, C. Nitsch and C. Trombetti, Sharp estimates and saturation phenomena for a nonlocal eigenvalue problem. Adv. Math. 228 (2011) 2352–2365. [CrossRef] [MathSciNet] [Google Scholar]
- F. Brock, F. Chiacchio and A. Mercaldo, Weighted isoperimetric inequalities in cones and applications. Nonlinear Anal. 75 (2012) 5737–5755. [CrossRef] [MathSciNet] [Google Scholar]
- A.P. Buslaev, V.A. Kondrat’ev and A.I. Nazarov, On a family of extremal problems and related properties of an integral. Mat. Zametki 64 (1998) 830–838. English transl. Math. Notes 64 (1998) 719–725. [CrossRef] [Google Scholar]
- J. Cheeger, A lower bound for the smallest eigenvalue of the Laplacian.Problems in analysis: A symposium in honor of Salomon Bochner. Princeton University Press (1970) 195–199. [Google Scholar]
- A. Cianchi, A sharp trace inequality for functions of bounded variation in the ball.Proc. of Royal Soc. Edinburgh, in vol. 142. Cambridge University Press (2012) 1179–1191. [Google Scholar]
- G. Croce and B. Dacorogna, On a generalized Wirtinger inequality. Discr. Contin. Dyn. Syst. 9 (2003) 1329–1341. [Google Scholar]
- G. Croce, A. Henrot and G. Pisante, An isoperimetric inequality for a nonlinear eigenvalue problem. Ann. Inst. Henri Poincaré Anal. non Linéaire 29 (2012) 21–34. [CrossRef] [Google Scholar]
- B. Dacorogna, W. Gangbo and N. Subía, Sur une généralisation de l’inégalité de Wirtinger. Ann. Inst. Henri Poincaré Anal. Non Linéaire 9 (1992) 29–50. [Google Scholar]
- F. Della Pietra and N. Gavitone, Symmetrization for Neumann anisotropic problems and related questions. Adv. Nonlinear Stud. 12 (2012) 219–235. [MathSciNet] [Google Scholar]
- F. Della Pietra and N. Gavitone, Relative isoperimetric inequality in the plane: the anisotropic case. J. Convex. Anal. 20 (2013) 157–180. [Google Scholar]
- L. Esposito, V. Ferone, B. Kawohl, C. Nitsch and C. Trombetti, The longest shortest fence and sharp Poincaré-Sobolev inequalities. Arch. Rational Mech. Anal. 206 (2012) 821–851. [CrossRef] [Google Scholar]
- P. Freitas and A. Henrot, On the First Twisted Dirichlet Eigenvalue. Commun. Anal. Geom. 12 (2004) 1083–1103. [CrossRef] [Google Scholar]
- I.V. Gerasimov and A.I. Nazarov, Best constant in a three-parameter Poincaré inequality. Probl. Mat. Anal. 61 (2011) 69–86, (Russian). English transl.: J. Math. Sci. 179 (2011) 80–99. [Google Scholar]
- G.H. Hardy, J.E. Littlewood and G. Pólya, Inequalities. Cambridge University Press, Cambridge (1988). [Google Scholar]
- V.G. Maz’ya, Sobolev spaces with applications to elliptic partial differential equations. Springer, Heidelberg (2011) [Google Scholar]
- A.I. Nazarov, On exact constant in the generalized Poincaré inequality. Probl. Mat. Anal. 24 (2002) 155–180, (Russian). English transl.: J. Math. Sci. 112 (2002) 4029–4047. [Google Scholar]
- A.I. Nazarov, On symmetry and asymmetry in a problem of shape optimization. (2012) 1–5. Available at http://arxiv.org/abs/1208.3640. [Google Scholar]
- E. Parini, An introduction to the Cheeger problem. Surv. Math. Appl. 6 (2011) 9–21. [MathSciNet] [Google Scholar]
- E. Parini, The second eigenvalue of the p-Laplacian as p goes to 1. Inter. J. Differ. Equ. (2010) DOI:10.1155/2010/984671. [Google Scholar]
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