EXISTENCE OF FAST-DECAY GROUND STATE OF P-LAPLACIAN EQUATION |
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| Affiliation: | 1. School of Mathematics and Statistics, Central South University, Changsha, 410083 Hunan, PR China;2. Departamento de Matemática, Universidade Estadual de Campinas, IMECC, Rua Sérgio Buarque de Holanda, 651, Campinas, SP CEP 13083-859, Brazil;3. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy;1. Universidade de Brasília, UNB, Brasília-DF, Brazil;2. Universidade Federal de Goiás, IME, Goiânia-GO, Brazil;1. Department of Mathematical Science, Tsinghua University, Beijing, PR China;2. School of Mathematics and Statistics, Jiangxi Normal University, Nanchang, PR China;3. Dipartimento SBAI, Palazzina B, Via Scarpa 16, Roma, Italy;4. School of Mathematics and Statistics, Central China Normal University, Wuhan, PR China;1. Departamento de Matemática, Universidade Federal de Pernambuco, 50670-901, Recife–PE, Brazil;2. Departamento de Matemática, Universidade Federal de Sergipe, 49100-000 São-Cristóvão–SE, Brazil;3. Departamento de Ciências Exatas e Naturais, Universidade Federal Rural do Semi-Árido, 59900-000, Pau dos Ferros–RN, Brazil;1. Center for Applied Mathematics, Tianjin University, Tianjin 300071, China;2. Department of Applied Mathematics, Northwestern Polytechnical University, Xi''an 710129, China |
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| Abstract: | Using the shooting argument and an approximating method, this paper is concerned with the existence of fast-decay ground state of p-Laplacian equation: Δpu + f(u) = 0, in Rn, where f(u) behaves just like f(u) = uq – us, as s > q >np/(n – p) – 1. |
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| Keywords: | fast-decay ground state p-Laplacian equation shooting method 35J60 |
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