Results 91 to 100 of about 15,562 (203)

New multiple positive solutions for elliptic equations with singularity and critical growth

Electronic Journal of Qualitative Theory of Differential Equations, 2019
In this note, the existence of multiple positive solutions is established for a semilinear elliptic equation $ -\Delta u=\frac{\lambda}{u^\gamma}+u^{2^*-1},~x\in\Omega,~u=0, x\in\partial\Omega$, where $\Omega$ is a smooth bounded domain in $\mathbb{R}^N$
Hongmin Suo, Chunyu Lei, Jia-Feng Liao
doaj   +1 more source

Multiplicity of solutions for elliptic boundary value problems

Electronic Journal of Differential Equations, 2014
In this article, we study the existence of infinitely many solutions for the semilinear elliptic equation $-\Delta u+a(x)u=f(x,u)$ in a bounded domain of $\mathbb{R}^N$ $(N\geq 3)$ with the Dirichlet boundary conditions, where the primitive of the ...
Yiwei Ye
doaj  

Existence of positive solutions for Dirichlet problems of some singular elliptic equations

Electronic Journal of Differential Equations, 2003
When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations similar to the singular Emden-Fowler equation.
Zhiren Jin
doaj  

A singular perturbation result for a class of periodic-parabolic BVPs

Open Mathematics
In this article, we obtain a very sharp version of some singular perturbation results going back to Dancer and Hess [Behaviour of a semilinear periodic-parabolic problem when a parameter is small, Lecture Notes in Mathematics, Vol. 1450, Springer-Verlag,
Cano-Casanova Santiago, Fernández-Rincón Sergio, López-Gómez Julián   +2 more
doaj   +1 more source

On the solution stability of parabolic optimal control problems. [PDF]

Comput Optim Appl, 2023
Corella AD, Jork N, Veliov VM.
europepmc   +1 more source

A semilinear control problem involving homogenization

Electronic Journal of Differential Equations, 2001
We consider a control problem involving a semilinear elliptic equation with a uniformly Lipschitz non-linearity and rapidly oscillating coefficients in a bounded domain of $mathbb{R}^N$.
Carlos Conca, Axel Osses, Jeannine Saint Jean Paulin   +2 more
doaj  

Existence and multiplicity of solutions for a singular semilinear elliptic problem in R^2

Electronic Journal of Differential Equations, 2011
Using minimax methods we study the existence and multiplicity of nontrivial solutions for a singular class of semilinear elliptic nonhomogeneous equation where the potentials can change sign and the nonlinearities may be unbounded in $x$ and behaves ...
Manasses de Souza
doaj  

EXISTENCE OF A STEADY FLOW WITH A BOUNDED VORTEX IN AN UNBOUNDED DOMAIN [PDF]

Journal of Sciences, Islamic Republic of Iran, 2001
We prove the existence of steady 2-dimensional flows, containing a bounded vortex, and approaching a uniform flow at infinity. The data prescribed is the rearrangement class of the vorticity field. The corresponding stream function satisfies a semilinear
doaj  

On Existence of Solution for a Class of Semilinear Elliptic Equations with Nonlinearities That Lies between Different Powers

Abstract and Applied Analysis, 2008
We prove that the semilinear elliptic equation −Δu=f(u), in Ω, u=0, on ∂Ω has a positive solution when the nonlinearity f belongs to a class which satisfies μtq≤f(t)≤Ctp at infinity and behaves like tq near the origin, where ...
Claudianor O. Alves, Marco A. S. Souto
doaj   +1 more source

Constrained Nonlinear and Mixed Effects Integral Differential Equation Models for Dynamic Cell Polarity Signaling. [PDF]

Front Plant Sci, 2022
Xiao Z, Brunel N, Tian C, Guo J, Yang Z, Cui X.   +5 more
europepmc   +1 more source