Results 111 to 120 of about 15,562 (203)

Semilinear equations in the plane with measurable data

Доповiдi Нацiональної академiї наук України
We study semilinear partial differential equations in the plane, the linear part of which is written in a divergence form. The main result is given as a factorization theorem.
V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov   +2 more
doaj   +1 more source

Impulsive fractional order integrodifferential equation via fractional operators. [PDF]

PLoS One, 2023
Al-Omari A, Al-Saadi H.
europepmc   +1 more source

Uniqueness of positive solutions to a class of semilinear elliptic equations

Boundary Value Problems, 2011
In this article, we consider the uniqueness of positive radial solutions to the Dirichlet boundary value problem Δ u + f ( | x | , u ) + g ( | x | ) x ⋅ ∇ u = 0 , x ∈ Ω , u = 0 , x ∈ ∂ Ω ,
Li Chunming, Zhou Yong
doaj  

Dirac-harmonic maps with potential. [PDF]

Lett Math Phys, 2022
Branding V.
europepmc   +1 more source

Ground state solutions for semilinear elliptic equations with zero mass in R^N

Electronic Journal of Differential Equations, 2015
In this article, we study the semilinear elliptic equation $$\displaylines{ -\Delta u=|u|^{p(x)-2}u, \quad x\in \mathbb{R}^N\cr u\in D^{1,2}(\mathbb{R}^N), }$$ where $N\geq3$, $p(x)=\begin{cases} p, x\in\Omega\\ 2^*, x\not\in\Omega, \end ...
Jiu Liu, Jia-Feng Liao, Chun-Lei Tang
doaj  

Operator compression with deep neural networks. [PDF]

Adv Contin Discret Model, 2022
Kröpfl F, Maier R, Peterseim D.
europepmc   +1 more source

Multiple solutions for semilinear elliptic equations with sign-changing potential and nonlinearity

Electronic Journal of Differential Equations, 2013
In this article, we study the multiplicity of solutions for the semilinear elliptic equation $$\displaylines{ -\Delta u+a(x)u=f(x, u), \quad x\in \Omega,\cr u=0, \quad x \in \partial\Omega, }$$ where $ \Omega\subset \mathbb{R}^N$ $(N ...
Dongdong Qin, Xianhua Tang, Jiang Zhang
doaj  

On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]

J Geom Anal, 2023
Branding V.
europepmc   +1 more source

Elastic anisotropy in the reduced Landau-de Gennes model. [PDF]

Proc Math Phys Eng Sci, 2022
Han Y, Harris J, Majumdar A, Zhang L.
europepmc   +1 more source

Bifurcation analysis for axisymmetric capillary water waves with vorticity and swirl. [PDF]

Stud Appl Math, 2022
Erhardt AH, Wahlén E, Weber J.
europepmc   +1 more source