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Kernel sections and (almost) periodic solutions of a non-autonomous parabolic PDE with a discrete state-dependent delay
An eigenvalue problem possessing a continuous family of eigenvalues plus an isolated eigenvalue
1. | Department of Mathematics, University of Craiova, 200585 Craiova, Romania |
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A. Henrot, "Extremum Problems for Eigenvalues of Elliptic Operators," Birkhäuser, 2006. |
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M. Mihăilescu and V. Rădulescu, Continuous spectrum for a class of nonhomogeneous differential operators, Manuscripta Mathematica, 125 (2008), 157-167.
doi: doi:10.1007/s00229-007-0137-8. |
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M. Mihăilescu and V. Rădulescu, Sublinear eigenvalue problems associated to the Laplace operator revisited, Israel Journal of Mathematics, in press. |
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L. Payne and H. Weinberger, An optimal Poincaré inequality for convex domains, Arch. Rational Mech. Anal., 5 (1960), 286-292.
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show all references
References:
[1] |
H. Brezis, "Analyse fonctionnelle: théorie, méthodes et applications," Masson, Paris, 1992. |
[2] |
L. Gasiński and N. S. Papagiorgiu, "Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems," Chapman & Hall, 2005. |
[3] |
A. Henrot, "Extremum Problems for Eigenvalues of Elliptic Operators," Birkhäuser, 2006. |
[4] |
M. Mihăilescu and V. Rădulescu, Continuous spectrum for a class of nonhomogeneous differential operators, Manuscripta Mathematica, 125 (2008), 157-167.
doi: doi:10.1007/s00229-007-0137-8. |
[5] |
M. Mihăilescu and V. Rădulescu, Sublinear eigenvalue problems associated to the Laplace operator revisited, Israel Journal of Mathematics, in press. |
[6] |
L. Payne and H. Weinberger, An optimal Poincaré inequality for convex domains, Arch. Rational Mech. Anal., 5 (1960), 286-292.
doi: doi:10.1007/BF00252910. |
[7] |
M. Struwe, "Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems," Springer, Heidelberg, 1996. |
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