Nonlinear elliptic equations with natural growth in general domains |
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| Authors: | A. Dall’Aglio D. Giachetti J.-P. Puel |
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| Affiliation: | (1) Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Roma I “La Sapienza”, Via Antonio Scarpa 16, 00161 Roma, Italy, IT;(2) Laboratoire de Mathématiques Appliquées, Université de Versailles Saint Quentin, 45 Avenue des Etats Unis, 78035 Versailles Cedex, France, FR |
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| Abstract: | We prove the existence of solutions of nonlinear elliptic equations with first-order terms having “natural growth” with respect to the gradient. The assumptions on the source terms lead to the existence of possibly unbounded solutions (though with exponential integrability). The domain Ω is allowed to have infinite Lebesgue measure. Received: April 13, 2001; in final form: September 29, 2001?Published online: July 9, 2002 |
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| Keywords: | Mathematics Subject Classification (2000). 35J60 35J65 35B45 |
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