Results 81 to 90 of about 3,208 (150)
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
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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
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, 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
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
Hopf's lemma for a class of singular/degenerate PDE-s
, 2014 This paper concerns Hopf's boundary point lemma, in certain $C^{1,Dini}$-type domains, for a class of singular/degenerate PDE-s, including $p$-Laplacian.
Mikayelyan, Hayk, Shahgholian, Henrik
core +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
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Existence of two solutions for singular Φ-Laplacian problems
Advanced Nonlinear Studies, 2022 Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the Φ\Phi -Laplacian operator, and the reaction term can be nonmonotone.
Candito Pasquale +2 more
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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