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math.AP2009
On complex-valued 2D eikonals. Part four: continuation past a caustic
Rolando Magnanini, Giorgio Talenti
Theories of monochromatic high-frequency electromagnetic fields have been designed by Felsen, Kravtsov, Ludwig and others with a view to portraying features that are ignored by geo…
math.AP2008
Critical points of solutions of degenerate elliptic equations in the plane
Simone Cecchini, Rolando Magnanini
We study the minimizer u of a convex functional in the plane which is not Gâteaux-differentiable. Namely, we show that the set of critical points of any C^1-smooth minimizer can no…
math.AP2008
Stationary isothermic surfaces and some characterizations of the hyperplane in the N-dimensional Euclidean space
Rolando Magnanini, Shigeru Sakaguchi
We consider an entire graph S of a continuous real function over (N-1)-dimensional Euclidean space with N larger than or equal to 3. Let D be a domain in N-dimensional Euclidean sp…