Results 71 to 80 of about 92,595 (298)
Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings [PDF]
, 2015 In this paper, we study a class of semilinear nonlocal elliptic equations posed on settings without compact Sobolev embedding. More precisely, we prove the existence of infinitely many solutions to the fractional Brezis-Nirenberg problems on bounded ...
Choi, Woocheol, Seok, Jinmyoung
core
Parallelization of Faber Polynomial Based Propagators for Laser Applications
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Volume 38, Issue 4, July/August 2025.ABSTRACT In order to simulate a laser system, the evaluation of a complex semilinear master equation is needed, including the description of the wave propagation by Maxwell's equations and appropriate rate equations. The denser the spatial discretization, the slower the computation time of the time‐dependent propagator.
Wladimir Plotnikov, Dirk Schulz
wiley +1 more source
Second-Order Necessary Conditions for Optimal Control of Semilinear Elliptic Equations with Leading Term Containing Controls [PDF]
, 2017 An optimal control problem for a semilinear elliptic equation of divergence form is considered. Both the leading term and the semilinear term of the state equation contain the control.
H. Lou, J. Yong
semanticscholar +1 more source
Some maximum principles in semilinear elliptic equations [PDF]
Proceedings of the American Mathematical Society, 1986 We develop maximum principles for functions defined on the solutions to a class of semilinear, second order, uniformly elliptic partial differential equations. These principles are related to recent theorems of Protter and Protter and Weinberger and to a technique initiated by Payne for the determination of gradient bounds on the solution of the ...
openaire +1 more source
Conformal metrics of constant scalar curvature with unbounded volumes
Proceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.Abstract For n⩾25$n\geqslant 25$, we construct a smooth metric g∼$\tilde{g}$ on the standard n$n$‐dimensional sphere Sn$\mathbb {S}^n$ such that there exists a sequence of smooth metrics {g∼k}k∈N$\lbrace \tilde{g}_k\rbrace _{k\in \mathbb {N}}$ conformal to g∼$\tilde{g}$ where each g∼k$\tilde{g}_k$ has scalar curvature Rg∼k≡1$R_{\tilde{g}_k}\equiv 1 ...
Liuwei Gong, Yanyan Li
wiley +1 more source
Electronic Journal of Differential Equations, 2000 solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value ...
P. S. Milojevic
doaj
Existencia de Soluciones Radiales para Problemas Semilineales Elípticos Indefinidos
Selecciones Matemáticas, 2020 We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous ...
Marco Calahorrano, Israel Cevallos
doaj +1 more source
Semilinear fractional elliptic equations involving measures [PDF]
, 2013 We study the existence of weak solutions of (E) $ (-\Delta)^\alpha u+g(u)=\nu $ in a bounded regular domain $\Omega$ in $\R^N (N\ge2)$ which vanish on $\R^N\setminus\Omega$, where $(-\Delta)^\alpha$ denotes the fractional Laplacian with $\alpha\in(0,1)$,
Chen, Huyuan, Veron, Laurent
core +2 more sources
Oscillatory Radial Solutions of Semilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 1997 We study the oscillatory behavior of radial solutions of the nonlinear partial differential equation Δu + f(u) + g(|x|, u) = 0 inRn, where f and g are continuous restoring functions, uf(u) > 0 and ug(|x|, u) > 0 for u ≠ 0. We assume that for fixedq limu → 0(|f(u)|/|u|q) = B > 0, for 1 < q < n/(n − 2), and, additionally, that 2F(u) ≥ (1 − 2/n)uf(u) when
Derrick, William R. +2 more
openaire +2 more sources
A full multigrid method for semilinear elliptic equation [PDF]
Applications of Mathematics, 2017 16 pages, 6 figures.
Xie, Hehu, Xu, Fei
openaire +2 more sources