On the shape of solutions to some variational problems
Remarks on quenching.
Overdetermined problems and the -Laplacian.
Log-concavity in some parabolic problems.
Are some optimal shape problems convex?
A paper of Legendre revisited.
The pseudo--Laplace eigenvalue problem and viscosity solutions as
We consider the pseudo--laplacian, an anisotropic version of the -laplacian operator for . We study relevant properties of its first eigenfunction for finite and the limit problem as .
Inheritance of symmetry for positive solutions of semilinear elliptic boundary value problems
The pseudo--Laplace eigenvalue problem and viscosity solutions as → ∞
We consider the pseudo--Laplacian, an anisotropic version of the -Laplacian operator for . We study relevant properties of its first eigenfunction for finite and the limit problem as → ∞.
Existence and nonexistence results for anisotropic quasilinear elliptic equations
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