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- W3153996845 abstract "We study the asymptotic (in time) behavior of positive and sign-changing solutions to nonlinear parabolic problems in the whole space or in the exterior of a ball with Dirichlet boundary conditions. We show that, under suitable regularity and stability assumptions, solutions are asymptotically (in time) foliated Schwarz symmetric, i.e., all elements in the associated omega-limit set are axially symmetric with respect to a common axis passing through the origin and are nonincreasing in the polar angle. We also obtain symmetry results for solutions of Henon-type problems, for equilibria (i.e. for solutions of the corresponding elliptic problem), and for time periodic solutions." @default.
- W3153996845 created "2021-04-26" @default.
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- W3153996845 date "2021-04-09" @default.
- W3153996845 modified "2023-10-01" @default.
- W3153996845 title "Symmetry properties of sign-changing solutions to nonlinear parabolic equations in unbounded domains" @default.
- W3153996845 hasPublicationYear "2021" @default.
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