Sufficient structure conditions for uniqueness of viscosity solutions of semilinear and quasilinear equations |
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| Authors: | Guy Barles Mythily Ramaswamy |
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| Affiliation: | (1) Laboratoire de Mathématiques et Physique Théorique, Université de Tours, Parc de Grandmont, 37200 Tours, France;(2) TIFR Center, IISc. Campus, Bangalore, 560 012, India |
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| Abstract: | In this article, we introduce a new approach for proving Maximum Principle type results for viscosity solutions of second-order, fully nonlinear possibly degenerate elliptic equations. This approach leads, in particular, to a better understanding of the conditions on the equation which are necessary to obtain such results. It allows us to provide new comparison results for semilinear and quasilinear equations. |
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| Keywords: | 35B05 35J60 35J70 35B50 |
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