Results 81 to 90 of about 145 (131)

Compatibility of state constraints and dynamics for multiagent control systems. [PDF]

J Evol Equ, 2021
Cavagnari G, Marigonda A, Quincampoix M.
europepmc   +1 more source

On the Sub and Supersolution Method for Nonlinear Elliptic Equations with a Convective Term, in Orlicz Spaces

Mathematics
In this note we provide an overview of some existence (with sign information) and regularity results for differential equations, in which the method of sub and supersolutions plays an important role.
Giuseppina Barletta
doaj   +1 more source

Qualitative analysis of a reaction-diffusion SIRS epidemic model with nonlinear incidence rate and partial immunity. [PDF]

Infect Dis Model, 2023
Wang J, Teng Z, Dai B.
europepmc   +1 more source

Positive solutions for concave-convex type problems for the one-dimensional $\phi$-Laplacian

Electronic Journal of Qualitative Theory of Differential Equations
Let $\Omega=(a,b)\subset\mathbb{R}$, $0\leq m,n\in L^{1}(\Omega)$, $\lambda,\mu>0$ be real parameters, and $\phi: \mathbb{R}\rightarrow\mathbb{R}$ be an odd increasing homeomorphism.
Uriel Kaufmann, Leandro Milne
doaj   +1 more source

Nonlinear elliptic equations with self-adjoint integro-differential operators and measure data under sign condition on the nonlinearity

Advanced Nonlinear Studies
We study the existence problem for semilinear equations (E): −Au = f(⋅, u) + μ, with Borel measure μ and operator A that generates a symmetric Markov semigroup.
Klimsiak Tomasz
doaj   +1 more source

Strictly positive solutions for one-dimensional nonlinear elliptic problems

Electronic Journal of Differential Equations, 2014
We study the existence and nonexistence of strictly positive solutions for the elliptic problems $Lu=m(x) u^p$ in a bounded open interval, with zero boundary conditions, where $L$ is a strongly uniformly elliptic differential operator, $p\in(0,1 ...
Uriel Kaufmann, Ivan Medri
doaj  

Sub and supersolutions, invariant cones and multiplicity results for p-Laplace equations

, 2012
For a class of quasilinear elliptic equations involving the p-Laplace operator, we develop an abstract critical point theory in the presence of sub-supersolutions. Our approach is based upon the proof of the invariance under the gradient flow of enlarged cones in the $W^{1,p}_0$ topology. With this, we prove abstract existence and multiplicity theorems
Boureanu, Maria Magdalena, Noris, Benedetta, Terracini, Susanna   +2 more
openaire   +3 more sources

Existence of large solutions for a semilinear elliptic problem via explosive sub- supersolutions

Electronic Journal of Differential Equations, 2006
We consider the boundary blow-up nonlinear elliptic problems $Delta upmlambda | abla u|^q=k(x)g(u)$ in a bounded domain with boundary condition $u|_{partial Omega}=+infty$, where $qin [0, 2]$ and $lambdageq0$. Under suitable growth assumptions on $k$
Zhijun Zhang
doaj  

Effects of Predation-Induced Emigration on a Landscape Ecological Model

Axioms
Predators impact prey populations directly through consumption and indirectly via trait-mediated effects like predator-induced emigration (PIE), where prey alter movement due to predation risk.
James T. Cronin, Nalin Fonseka, Jerome Goddard, Ratnasingham Shivaji, Xiaohuan Xue   +4 more
doaj   +1 more source

The sub-supersolution method for the FitzHugh-Nagumo type reaction-diffusion system with heterogeneity

Discrete and Continuous Dynamical Systems, 2018
The main result of the paper concerns the existence of a solution \((u,v)\), defined on the half-line \(\mathbb{R}^+\), to the system \[ \begin{split} &-du''=\mu(x)f(u)-v, \\ &-v''+\gamma v=u \end{split} \] with boundary conditions that express the connection between two equilibria \[ (u,v)(0)=(0,0),\quad (u,v)(+\infty)=(a_\gamma,a_\gamma/\gamma ...
openaire   +3 more sources