We give existence results for weak solutions of Dirichlet problems for elliptic equations having degenerate coercivity and a first order term which has quadratic growth with respect to the gradient. The proof is based on the use of test functions having exponential growth.
Bounded solutions for Dirichlet problems with degenerate coercivity and a quadratic gradient term / Boccardo, Lucio; Dall'Aglio, Andrea. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 2532-3350. - 45:(2024), pp. 245-254.
Bounded solutions for Dirichlet problems with degenerate coercivity and a quadratic gradient term
Boccardo, Lucio
;Dall'Aglio, Andrea
2024
Abstract
We give existence results for weak solutions of Dirichlet problems for elliptic equations having degenerate coercivity and a first order term which has quadratic growth with respect to the gradient. The proof is based on the use of test functions having exponential growth.File allegati a questo prodotto
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