Results 81 to 90 of about 3,242 (149)
Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian
Advances in Nonlinear Analysis, 2021 We consider a nonlinear boundary value problem with degenerate nonlocal term depending on the Lq-norm of the solution and the p-Laplace operator. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles the ...
Candito Pasquale +3 more
doaj +1 more source
, 2013 In this work, we investigate the solvability of a boundary value problem for the Poisson equation. The considered problem is a generalization of the known Dirichlet and Neumann problems on operators of a fractional order.
B. Torebek, B. Turmetov
semanticscholar +1 more source
Advances in Applied Mathematics and Mechanics, 2019 This paper is a generalization of some recent results concerned with the lower bound property of eigenvalues produced by both the enriched rotated Q1 and Crouzeix–Raviart elements of the Stokes eigenvalue problem.
Youai Li
semanticscholar +1 more source
Lipschitz estimates for partial trace operators with extremal Hessian eigenvalues
Advances in Nonlinear Analysis, 2022 We consider the Dirichlet problem for partial trace operators which include the smallest and the largest eigenvalue of the Hessian matrix. It is related to two-player zero-sum differential games. No Lipschitz regularity result is known for the solutions,
Vitolo Antonio
doaj +1 more source
Study of some semi-linear elliptic equation [PDF]
J. Part. Diff. Eq. 28 (2015), pp. 30-38, 2012 We propose in this paper to study the solutions of some nonlinear elliptic equations with singular potential.
arxiv +1 more source
A note on the shift theorem for the Laplacian in polygonal domains (extended version) [PDF]
Applications of Mathematics, vol 69 (2024), pp 653-693We present a shift theorem for solutions of the Poisson equation in a finite planar cone (and hence also on plane polygons) for Dirichlet, Neumann, and mixed boundary conditions. The range in which the shift theorem holds depends on the angle of the cone.
arxiv +1 more source
Existence results for nonlinear elliptic problems on fractal domains
Advances in Nonlinear Analysis, 2016 Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval
Ferrara Massimiliano +2 more
doaj +1 more source
Calculation and Estimation of the Poisson kernel [PDF]
arXiv, 2006 We provide a simple method for obtain boundary asymptotics of the Poisson kernel on a domain in $\RR^N$.
arxiv
Liouville Type Theorem For A Nonlinear Neumann Problem [PDF]
, 2016 Consider the following nonlinear Neumann problem \[ \begin{cases} \text{div}\left(y^{a}\nabla u(x,y)\right)=0, & \text{for }(x,y)\in\mathbb{R}_{+}^{n+1}\\ \lim_{y\rightarrow0+}y^{a}\frac{\partial u}{\partial y}=-f(u), & \text{on }\partial\mathbb{R}_ ...
Xiang, Changlin
core
Overdetermined boundary value problems for the $\infty$-Laplacian
, 2009 We consider overdetermined boundary value problems for the $\infty$-Laplacian in a domain $\Omega$ of $\R^n$ and discuss what kind of implications on the geometry of $\Omega$ the existence of a solution may have.
Buttazzo, G., Kawohl, B.
core +2 more sources