ANALISE VARIACIONAL DE SISTEMAS EL ´ ´IPTICOS COM O OPERADOR p-LAPLACIANO NO DOM´INIO RN
DOI:
https://doi.org/10.61164/rmnm.v13i1.4202Palabras clave:
Operador p-Laplaciano, Sistemas el´ıpticos, Existˆencia de solu¸c˜oes fracas.Resumen
Neste trabalho, investigamos a existˆencia de solu¸c˜oes n˜ao triviais para um sistema el´ıptico definido em RN, envolvendo o operador p-Laplaciano. Sob hip´oteses adequadas de coercividade dos potenciais e condi¸c˜oes de regularidade e crescimento das n˜ao linearidades, demonstramos, por meio de m´etodos variacionais, que o funcional associado ao sistema satisfaz as condi¸c˜oes do Teorema do Passo da Montanha, assegurando a existˆencia de solu¸c˜oes fracas n˜ao triviais
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Referencias
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