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Existence of positive radial solutions to a p-Laplacian Kirchhoff type problem on the exterior of a ball [PDF]
Opuscula Mathematica, 2022 In this paper the authors study the existence of positive radial solutions to the Kirchhoff type problem involving the \(p\)-Laplacian \[-\Big(a+b\int_{\Omega_e}|\nabla u|^p dx\Big)\Delta_p u=\lambda f\left(|x|,u\right),\ x\in \Omega_e,\quad u=0\ \text ...
John R. Graef +2 more
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A nonexistence result for p-Laplacian systems in a ball
Electronic Journal of Differential Equations, 2023 We consider the \(p\)-Laplacian system $$ \displaylines{ -\Delta_p u = \lambda f(v) \quad \text{in } \Omega; \cr -\Delta_p v = \lambda g(u) \quad \text{in } \Omega; \cr u = v=0 \quad \text{on }\partial \Omega, }$$ where \(\lambda >0\) is a parameter, \(\
Abraham" Abebe, Maya Chhetri
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On a power-type coupled system with mean curvature operator in Minkowski space
Boundary Value Problems, 2021 We study the Dirichlet problem for the prescribed mean curvature equation in Minkowski space { M ( u ) + v α = 0 in B , M ( v ) + u β = 0 in B , u | ∂ B = v | ∂ B = 0 , $$ \textstyle\begin{cases} \mathcal{M}(u)+ v^{\alpha }=0\quad \text{in } B ...
Zhiqian He +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2022 The paper deals with the existence and localization of positive radial solutions for stationary partial differential equations involving a general $\phi $-Laplace operator in the annulus.
Jorge Rodríguez-López +2 more
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Normalized solutions for a coupled fractional Schrödinger system in low dimensions
Boundary Value Problems, 2020 We consider the following coupled fractional Schrödinger system: { ( − Δ ) s u + λ 1 u = μ 1 | u | 2 p − 2 u + β | v | p | u | p − 2 u , ( − Δ ) s v + λ 2 v = μ 2 | v | 2 p − 2 v + β | u | p | v | p − 2 v in R N , $$ \textstyle\begin{cases} (-\Delta ...
Meng Li +3 more
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Existence of positive radial solution for Neumann problem on the Heisenberg group
Boundary Value Problems, 2020 The existence of at least one positive radial solution of the Neumann problem − Δ H n u + R ( ξ ) u = a ( | ξ | H n ) | u | p − 2 u − b ( | ξ | H n ) | u | q − 2 u , $$ -\Delta _{\mathbb{H}^{n}} u+R(\xi ) u=a \bigl( \vert \xi \vert _{\mathbb{H}^{n ...
F. Safari, A. Razani
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Continuation of Radial Positive Definite Functions and Their Characterization
Fractal and Fractional, 2023 This paper delves into the extension and characterization of radial positive definite functions into non-integer dimensions. We provide a thorough investigation by employing the Riemann–Liouville fractional integral and fractional Caputo derivatives ...
Fethi Bouzeffour
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On Kirchhoff-Type Equations with Hardy Potential and Berestycki–Lions Conditions
Mathematics, 2023 The purpose of this paper is to investigate the existence and asymptotic properties of solutions to a Kirchhoff-type equation with Hardy potential and Berestycki–Lions conditions.
Hua Yang, Jiu Liu
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Spherically symmetric solutions in Rastall gravity
上海师范大学学报. 自然科学版, 2023 In this paper， we consider the spherically symmetric solutionstothe field equation of Rastall gravity in the background of positive pressure matter.Firstly，we study the spherically symmetric solution in Rastall gravityin the background of matter with ...
XI Ping +3 more
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Plastic and Reconstructive Surgery, Global Open, 2023 Background:. The surgical plan to reconstruct the palate must be carefully prepared given the morphological peculiarity of the soft palate forming both the roof of the mouth and the floor of the nasal cavity.
Riccardo Nocini, MD +5 more
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