Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations
Poláčik, Peter
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Displaying similar documents to “Convergence to a positive equilibrium for some nonlinear evolution equations in a ball.”
Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations
Nonlinear eigenvalues and bifurcation problems for Pucci's operators
Jérôme Busca, Maria J. Esteban, Alexander Quaas (2005)
Annales de l'I.H.P. Analyse non linéaire
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Asymptotic behavior of solutions of semilinear elliptic equations on an unbounded strip.
Brunovský, P., Mora, X., Poláčik, P., Solà-Morales, J. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Existence and perturbation of principal eigenvalues for a periodic-parabolic problem.
Daners, Daniel (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Positive solutions of an asymptotically planar system of elliptic boundary value problems.
Corrêa, F.J.S.A. (1998)
International Journal of Mathematics and Mathematical Sciences
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First moments of energy and convergence to equilibrium.
Busca, Jerome (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On the linearization of some singular, nonlinear elliptic problems and applications
Jesús Hernández, Francisco J Mancebo, José M Vega (2002)
Annales de l'I.H.P. Analyse non linéaire
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Symmetrization of functions and principal eigenvalues of elliptic operators
François Hamel, Nikolai Nadirashvili, Emmanuel Russ (2011-2012)
Séminaire Laurent Schwartz — EDP et applications
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In this paper, we consider shape optimization problems for the principal eigenvalues of second order uniformly elliptic operators in bounded domains of . We first recall the classical Rayleigh-Faber-Krahn problem, that is the minimization of the principal eigenvalue of the Dirichlet Laplacian in a domain with fixed Lebesgue measure. We then consider the case of the Laplacian with a bounded drift, that is the operator , for which the minimization problem is still well posed. Next, we...
Existence and nonexistence of solutions for a model of gravitational interaction of particles, II
Piotr Biler, Danielle Hilhorst, Tadeusz Nadzieja (1994)
Colloquium Mathematicae
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We study the existence and nonexistence in the large of radial solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles. The blow-up of solutions defined in the n-dimensional ball with large initial data is connected with the nonexistence of radial stationary solutions with a large mass.