Some remarks on double-wells in one and three dimensions
M. Klaus (1981)
Annales de l'I.H.P. Physique théorique
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M. Klaus (1981)
Annales de l'I.H.P. Physique théorique
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H. Jeanjean, M. Lucia, C. A. Stuart (1999)
Rendiconti del Seminario Matematico della Università di Padova
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J. Fleckinger, J. Hernández, F. Thélin (2004)
Bollettino dell'Unione Matematica Italiana
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We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.
Niels Joergen Kokholm (1989)
Journées équations aux dérivées partielles
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Evans M. Harrell, M. Klaus (1983)
Annales de l'I.H.P. Physique théorique
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Jean-Michel Roquejoffre (1997)
Annales de l'I.H.P. Analyse non linéaire
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