Results 91 to 100 of about 75,181 (273)

KPP fronts in shear flows with cutoff reaction rates

Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.
Abstract We consider the effect of a shear flow which has, without loss of generality, a zero mean flow rate, on a Kolmogorov–Petrovskii–Piscounov (KPP)‐type model in the presence of a discontinuous cutoff at concentration u=uc$u = u_c$. In the long‐time limit, a permanent‐form traveling wave solution is established which, for fixed uc>0$u_c>0$, is ...
D. J. Needham, A. Tzella
wiley   +1 more source

Picard sheaves, local Brauer groups, and topological modular forms

Journal of Topology, Volume 17, Issue 2, June 2024.
Abstract We develop tools to analyze and compare the Brauer groups of spectra such as periodic complex and real K$K$‐theory and topological modular forms, as well as the derived moduli stack of elliptic curves. In particular, we prove that the Brauer group of TMF$\mathrm{TMF}$ is isomorphic to the Brauer group of the derived moduli stack of elliptic ...
Benjamin Antieau, Lennart Meier, Vesna Stojanoska   +2 more
wiley   +1 more source

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
Shaohua Chen, William R. Derrick, Joseph A. Cima   +2 more
openaire   +3 more sources

Existence and uniqueness for a coupled parabolic‐hyperbolic model of MEMS

Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6310-6353, 15 May 2024.
Local wellposedness for a nonlinear parabolic‐hyperbolic coupled system modeling Micro‐Electro‐Mechanical System (MEMS) is studied. The particular device considered is a simple capacitor with two closely separated plates, one of which has motion modeled by a semilinear hyperbolic equation.
Heiko Gimperlein, Runan He, Andrew A. Lacey   +2 more
wiley   +1 more source

Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems

Electronic Journal of Differential Equations, 1999
When using calculus of variations to study nonlinear elliptic boundary-value problems on unbounded domains, the Palais-Smale condition is not always satisfied.
Chao-Nien Chen, Shyuh-Yaur Tzeng
doaj  

Existence and Multiplicity of Solutions of Semilinear Elliptic Equations

Journal of Mathematical Analysis and Applications, 2001
The paper deals with the semilinear elliptic Dirichlet boundary problem \[ \begin{cases} -\Delta u=f(x,u)\quad & \text{in }\Omega,\\ u=0\quad &\text{on } \partial \Omega,\end{cases} \tag{1} \] where \(\Omega\subset R^d\) \((d\geq 1)\) is a bounded smooth domain and \(f:\overline\Omega\times R\to R\) is a Carathéodory function. Throughout this paper the
Xing-Ping Wu, Chun-Lei Tang
openaire   +2 more sources

Sub-supersolution theorems for quasilinear elliptic problems: A variational approach

Electronic Journal of Differential Equations, 2004
This paper presents a variational approach to obtain sub - supersolution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations.
Vy Khoi Le, Klaus Schmitt
doaj  

Semilinear elliptic problems involving Hardy-Sobolev-Maz'ya potential and Hardy-Sobolev critical exponents

Electronic Journal of Differential Equations, 2016
In this article, we study a class of semilinear elliptic equations involving Hardy-Sobolev critical exponents and Hardy-Sobolev-Maz'ya potential in a bounded domain. We obtain the existence of positive solutions using the Mountain Pass Lemma.
Rui-Ting Jiang, Chun-Lei Tang
doaj  

Inverse problems for fractional semilinear elliptic equations [PDF]

Nonlinear Analysis, 2020
Ru-Yu Lai, Yi-Hsuan Lin
semanticscholar   +1 more source

Some existence results of semilinear elliptic equations [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1995
We are concerned with the existence of positive solutions for equations of the form (1), defined in IRN and in IRN −{0}. We give a unified treatment of the problems studied before by others authors.
H. SOTO, C.S. YARUR
doaj