Results 1 to 10 of about 144 (34)
Supersolutions to nonautonomous Choquard equations in general domains
Advances in Nonlinear Analysis, 2023 We consider the nonlocal quasilinear elliptic problem: −Δmu(x)=H(x)((Iα*(Qf(u)))(x))βg(u(x))inΩ,-{\Delta }_{m}u\left(x)=H\left(x){(\left({I}_{\alpha }* \left(Qf\left(u)))\left(x))}^{\beta }g\left(u\left(x))\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0 ...
Aghajani Asadollah, Kinnunen Juha
doaj +1 more source
Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations
Advanced Nonlinear Studies, 2020 By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator.
Benevieri Pierluigi, Iannizzotto Antonio
doaj +1 more source
Eigencurves of the p(·)-Biharmonic operator with a Hardy-type term
Moroccan Journal of Pure and Applied Analysis, 2020 This paper is devoted to the study of the homogeneous Dirichlet problem for a singular nonlinear equation which involves the p(·)-biharmonic operator and a Hardy-type term that depend on the solution and with a parameter λ.
Laghzal Mohamed +3 more
doaj +1 more source
The One-Dimensional Schrödinger-Newton Equations [PDF]
, 2018 We prove an existence and uniqueness result for ground states of one-dimensional Schrödinger-Newton ...
Choquard, Philippe, Stubbe, Joachim
core +1 more source
Enclosure of the Numerical Range of a Class of Non-Selfadjoint Rational Operator Functions [PDF]
, 2017 In this paper we introduce an enclosure of the numerical range of a class of rational operator functions. In contrast to the numerical range the presented enclosure can be computed exactly in the infinite dimensional case as well as in the finite ...
Engström, Christian, Torshage, Axel
core +2 more sources
Advances in Nonlinear Analysis, 2019 In this paper, we consider the nonlinear eigenvalue problem:
Khalil Abdelouahed El +3 more
doaj +1 more source
Polynomial eigenvalue solver based on tropically scaled Lagrange linearization [PDF]
, 2017 We propose an algorithm to solve polynomial eigenvalue problems via linearization combining several ingredients: a specific choice of linearization, which is constructed using input from tropical algebra and the notion of well-separated tropical roots ...
Van Barel, Marc, Tisseur, Françoise
core +2 more sources
A-priori bounds and existence for solutions of weighted elliptic equations with a convection term
Advances in Nonlinear Analysis, 2017 We investigate weighted elliptic equations containing a convection term with variable exponents that are subject to Dirichlet or Neumann boundary condition.
Ho Ky, Sim Inbo
doaj +1 more source
Multiple perturbations of a singular eigenvalue problem
, 2015 We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija +2 more
core +1 more source
Tensor Complementarity Problem and Semi-positive Tensors
, 2015 The tensor complementarity problem $(\q, \mathcal{A})$ is to $$\mbox{ find } \x \in \mathbb{R}^n\mbox{ such that }\x \geq \0, \q + \mathcal{A}\x^{m-1} \geq \0, \mbox{ and }\x^\top (\q + \mathcal{A}\x^{m-1}) = 0.$$ We prove that a real tensor $\mathcal ...
Qi, Liqun, Song, Yisheng
core +1 more source