We introduce a measure for the starshapedness of the level sets of solutions of certain nonlinear elliptic equations in a starshaped ring Omega of R^n. We prove that a function which characterizes the starshapedness does not attain its minimum in Omega.
Starshapedness of level sets for solutions of nonlinear elliptic equations / E. FRANCINI. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - STAMPA. - 193:(1998), pp. 49-56. [10.1002/mana.19981930106]
Starshapedness of level sets for solutions of nonlinear elliptic equations
FRANCINI, ELISA
1998
Abstract
We introduce a measure for the starshapedness of the level sets of solutions of certain nonlinear elliptic equations in a starshaped ring Omega of R^n. We prove that a function which characterizes the starshapedness does not attain its minimum in Omega.
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