Multiplicity of Solutions for Non-homogeneous Dirichlet Problem with One-Dimension Minkowski-Curvature Operator

• Autores: Yanqiong Lu, Zhiqiang Li, Tianlan Chen
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 4, 2022
• Idioma: inglés
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• Resumen

  • In this work, we study the multiplicity of solutions for non-homogeneous Dirichlet problem with one-dimension Minkowski-curvature operator u √ 1 − κu2 + f (u) = 0, t ∈ (0, 1), u(0) = s A, u(1) = s B, where κ > 0 is a constant, A, B ∈ R are constants, s ∈ R is a parameter and f : [0,∞) → R is continuous. The results depend on the values of the real numbers s, A, B and on the behaviour of f (u)/u for u near zero.