Existence theorems for nonnegative solutions to a class of nonlinear Dirichlet problems with first order terms are proved. Nonexistence results are also discussed, depending on the regularity of the coefficient of the first order term. The proofs make use of a direct variational approach and of integral identities. (C) 2000 Academic Press.
Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms / Moschini, Luisa; Stanislav I., Pohozaev; Tesei, Alberto. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 177:2(2000), pp. 365-382. [10.1006/jfan.2000.3644]
Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms
MOSCHINI, Luisa;TESEI, Alberto
2000
Abstract
Existence theorems for nonnegative solutions to a class of nonlinear Dirichlet problems with first order terms are proved. Nonexistence results are also discussed, depending on the regularity of the coefficient of the first order term. The proofs make use of a direct variational approach and of integral identities. (C) 2000 Academic Press.File allegati a questo prodotto
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