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Boundary Value Problems and Boundary Value Spaces [PDF]
, 2021 AbstractThis chapter is devoted to the study of inhomogeneous boundary value problems. For this, we shall reformulate the boundary value problem again into a form which fits within the general framework of evolutionary equations. In order to have an idea of the type of boundary values which make sense to study, we start off with a section that deals ...
Christian Seifert +2 more
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Boundary Value Problems with Compatible Boundary Conditions [PDF]
Czechoslovak Mathematical Journal, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karakostas, G. L., Palamides, P. K.
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Boundary Value Problems, 2020 The paper deals with the study of the existence result for a Kirchhoff elliptic system with additive right-hand side and variable parameters by using the sub-/supersolution method. Our study is a natural extension result of our previous one in (Boulaaras
Mohamed Haiour +3 more
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Boundary Value Problems, 2018 In this paper, we study a sequential Caputo fractional q-integrodifference equation with fractional q-integral and Riemann–Liouville fractional q-derivative boundary value conditions.
Nichaphat Patanarapeelert +1 more
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Boundary Value Problems, 2019 In this paper, we investigate the quasilinear elliptic equations involving multiple critical Sobolev–Hardy terms with Dirichlet boundary conditions on bounded smooth domains Ω⊂RN $\varOmega \subset R^{N}$ ( N≥3 ${N \ge 3} $), and prove the multiplicity ...
Yuanyuan Li
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Boundary Value Problems, 2020 We consider the following Schrödinger–Bopp–Podolsky problem: { − Δ u + V ( x ) u + ϕ u = λ f ( u ) + | u | 4 u , in R 3 , − Δ ϕ + Δ 2 ϕ = u 2 , in R 3 .
Jie Yang, Haibo Chen, Senli Liu
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Periodic Problems of Difference Equations and Ergodic Theory
Abstract and Applied Analysis, 2011 The necessary and sufficient conditions for solvability of the family of difference equations with periodic boundary condition were obtained using the notion of relative spectrum of linear bounded operator in the Banach space and the ergodic theorem.
B. A. Biletskyi +2 more
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Boundary Value Problems, 2019 In this paper, a biharmonic equation is investigated, which involves multiple Rellich-type potentials and a critical Sobolev exponent. By using variational methods and analytical techniques, the existence and multiplicity of nontrivial solutions to the ...
Jinguo Zhang, Tsing-San Hsu
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Boundary Value Problems, 2023 This paper aims to extend the Caputo–Atangana–Baleanu ( A B C $ABC$ ) and Riemann–Atangana–Baleanu ( A B R $ABR$ ) fractional derivatives with respect to another function, from fractional order μ ∈ ( 0 , 1 ] $\mu \in (0,1]$ to an arbitrary order μ ∈ ( n ,
Thabet Abdeljawad +4 more
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Boundary Value Problems, 2021 This paper deals with the homogeneous Neumann boundary value problem for chemotaxis system { u t = Δ u − ∇ ⋅ ( u ∇ v ) + κ u − μ u α , x ∈ Ω , t > 0 , v t = Δ v − u v , x ∈ Ω , t > 0 , $$\begin{aligned} \textstyle\begin{cases} u_{t} = \Delta u - \nabla ...
Ke Jiang, Yongjie Han
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