Title:	Generalized quasilinear equations with critical growth and nonlinear boundary conditions
Authors:	Maia, Liliane de Almeida Oliveira Jùnior, José Carlos Ruviaro, Ricardo
Assunto::	Equações quasilineares Métodos variacionais Não linearidades côncavas Expoente crítico Solução de estado fundamental
Issue Date:	27-Jun-2022
Publisher:	Texas State University
Citation:	MAIA, Liliane de Almeida; OLIVEIRA JÙNIOR, José Carlos; RUVIARO, Ricardo. Generalized quasilinear equations with critical growth and nonlinear boundary conditions. Electronic Journal of Differential Equations, [S. l.], Special Issue 01, p. 327-344, 2021.Disponível em: https://ejde.math.txstate.edu/special/01/m3/maia.pdf. Acesso em: 13 dez. 2023.
Abstract:	We study the quasilinear problem − div(h 2 (u)∇u) + h(u)h 0 (u)|∇u| 2 + u = −λ|u| q−2u + |u| 2·2 ∗−2u in Ω, ∂u ∂η = µg(x, u) on ∂Ω, where Ω ⊂ R3 is a bounded domain with regular boundary ∂Ω, λ, µ > 0, 1 < q < 4, 2·2 ∗ = 12, ∂ ∂η is the outer normal derivative and g has a subcritical growth in the sense of the trace Sobolev embedding. We prove a regularity result for all weak solutions for a modified, and introducing a new type of constraint, we obtain a multiplicity of solutions, including the existence of a ground state.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
Licença::	©2021 This work is licensed under a CC BY 4.0 license.
Appears in Collections:	Artigos publicados em periódicos e afins

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