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math.AP2011★ 2 cited
Uniqueness and stability of saddle-shaped solutions to the Allen-Cahn equation
Xavier Cabre
We establish the uniqueness of a saddle-shaped solution to the diffusion equation in all of , where is of bistable type, in every even dimension $…
math.AP2011
Radial symmetry of solutions to diffusion equations with discontinuous nonlinearities
Joaquim Serra
We prove a radial symmetry result for bounded nonnegative solutions to the -Laplacian semilinear equation posed in a ball of and involving discontinu…