Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: existence and symmetry |
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Authors: | Juan Dávila Julio D Rossi |
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Abstract: | We find existence of a nonnegative compactly supported solution of the problem Δu=uα in , ∂u/∂ν=u on . Moreover, we prove that every nonnegative solution with finite energy is compactly supported and radially symmetric in the tangential variables. |
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Keywords: | Elliptic equations Nonlinear boundary conditions Symmetry |
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