Results 81 to 90 of about 2,153,662 (184)

Superlinear problems [PDF]

, 2004
We solve elliptic semilinear boundary value problems in which the nonlinear term is superlinear. By weakening the hypotheses, we are able to include more equations than hitherto permitted.
Zou, W M, Martin Schechter, Schechter, M, Wenming Zou   +3 more
core   +1 more source

Reaction-Diffusion Equations with Transport Noise and Critical Superlinear Diffusion: Global Well-Posedness of Weakly Dissipative Systems

SIAM Journal on Mathematical Analysis
Abstract. In this paper, we investigate the global well-posedness of reaction-diffusion systems with transport noise on the [Formula: see text]-dimensional torus. We show new global well-posedness results for a large class of scalar equations (e.g., the Allen–Cahn equation) and dissipative systems (e.g., equations in coagulation ...
Agresti, Antonio, Veraar, Mark
openaire   +2 more sources

L2-Solutions to stochastic reaction-diffusion equations with superlinear drifts driven by space-time white noise

Stochastic Processes and their Applications
Consider the following stochastic reaction-diffusion equation with logarithmic superlinear coefficient b, driven by space-time white noise W: $$ u_t(t,x) = (1/2)u_{xx}(t,x) + b(u(t,x)) + σ(u(t,x))W(dt,dx) $$ for $t > 0$ and $x \in [0,1]$, with initial condition $$ u(0,x) = u_0(x) $$ for $x \in [0,1]$, where $u_0 \in L^2[0,1]$.
Shang, Shijie, Wang, Pengyu, Zhang, Tusheng   +2 more
openaire   +2 more sources

Fixed Time, Tiered Memory, and Superlinear Speedup

, 1990
In the problem size-ensemble size plane, fixed-sized and scaled-sized paradigms have been the subsets of primary interest to the parallel processing community.
John L. Gustafson
core  

On the local well-posedness of randomly forced reaction-diffusion equations with $$\varvec{L^2}$$ initial data and a superlinear reaction term

Probability Theory and Related Fields
Abstract We consider a parabolic stochastic partial differential equation (SPDE) on [0, 1] that is forced with multiplicative space-time white noise with a bounded and Lipschitz diffusion coefficient and a drift coefficient that is locally Lipschitz and satisfies an
Mohammud Foondun, Davar Khoshnevisan, Eulalia Nualart   +2 more
openaire   +1 more source

On the superlinear Lazer-McKenna conjecture

, 2008
We prove the Lazer–McKenna conjecture for a superlinear elliptic problem of Ambrosetti–Prodi type by constructing solutions with sharp ...
Yan, S, Dancer, Edward N
core   +1 more source

Radially Symmetric Solutions to a Superlinear Dirichlet Problem in a Ball [PDF]

, 1987
In this paper we consider a radially symmetric nonlinear Dirichlet problem in a ball, where the nonlinearity is "superlinear" and "superlinear with jumping.
Kurepa, Alexandra
core  

Wang’s multiplicity result for superlinear $(p,q)$–equations without the Ambrosetti–Rabinowitz condition

, 2014
We consider a nonlinear elliptic equation driven by the sum of a $p$--Laplacian and a $q$--Laplacian where ...
MUGNAI, Dimitri, Nikolaos S. Papageorgiou   +1 more
core   +1 more source

Nonexistence of positive radial solutions for semipositone $ϕ$-Laplacian problems with superlinear reaction term

The aim of this paper is to prove the nonexistence of positive radial solutions to the problem $-Δ_ϕu=λf(u)$, $x\in B_1(0)$, $u(x)=0$ on $|x|=1$, for $λ>0$ sufficiently large. Here, $ϕ$ is a continuous function, $Δ_ϕ$ denotes the $ϕ$-Laplacian operator which is defined by $Δ_ϕ(u):=div (ϕ(|\nabla u|) \nabla u)$, and $B_1(0)$ is the unit ball in ...
Herrón, Sigifredo, Lopera, Emer, Sánchez, Diana   +2 more
openaire   +2 more sources

On the local well-posedness of randomly forced reaction-diffusion equations with $L^2$ initial data and a superlinear reaction term

We consider a parabolic stochastic partial differential equation (SPDE) on $[0\,,1]$ that is forced with multiplicative space-time white noise with a bounded and Lipschitz diffusion coefficient and a drift coefficient that is locally Lipschitz and satisfies an $L\log L$ growth condition. We prove that the SPDE is well posed when the initial data is in $
Foondun, Mohammud, Khoshnevisan, Davar, Nualart, Eulalia   +2 more
openaire   +2 more sources