Multiplicity of positive solutions for the Kirchhoff-type equations with critical exponent in RN.

Miyagaki, Olimpio HiroshiLeme, Leandro Correia PaesRodrigues, Bruno Mendes2018-11-012018-11-012018MIYAGAKI, O. H.; LEME, L. C. P.; RODRIGUES, B. M. Multiplicity of positive solutions for the Kirchhoff-type equations with critical exponent in RN. Computers & Mathematics with Applications, v. 75, n. 9, p. 3201-3212, maio 2018. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0898122118300579>. Acesso em: 16 jun. 2018.08981221http://www.repositorio.ufop.br/handle/123456789/10505In this work we study the existence and multiplicity of solutions to the following Kirchhofftype problem with critical nonlinearity in RN ⎧⎨ ⎩ − ( a + b ∫ RN |∇u|pdx ) Δpu = μup∗−1 + λf (x, u); x ∈ RN , u ∈ D1,p(RN ), where N ≥ 2p, μ, λ, a, b > 0 and the nonlinearity f (x, u) satisfies certain subcritical growth conditions. By using topological and variational methods, infinitely many positive solutions are obtained.en-USrestritoVariational methodsp-LaplacianMultiplicity of positive solutions for the Kirchhoff-type equations with critical exponent in RN.Artigo publicado em periodicohttps://www.sciencedirect.com/science/article/pii/S0898122118300579#!