Results 41 to 50 of about 80 (67)

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

open access: yesAdvances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della   +2 more
doaj   +1 more source

Existence of Positive Ground State Solutions for Choquard Systems

open access: yesAdvanced Nonlinear Studies, 2020
We study the existence of positive ground state solution for Choquard systems. In the autonomous case, we prove the existence of at least one positive ground state solution by the Pohozaev manifold method and symmetric-decreasing rearrangement arguments.
Deng Yinbin, Jin Qingfei, Shuai Wei
doaj   +1 more source

Existence and stability of fourth-order nonlinear plate problem

open access: yesNonautonomous Dynamical Systems, 2019
In this paper, we study a fourth-order plate problem as a model for a suspension bridge in the presence of a nonlinear frictional damping and a hanger restoring force. We establish the existence of a global weak solution and prove a stability result.
Messaoudi Salim A., Mukiawa Soh Edwin
doaj   +1 more source

Euler-α equations in a three-dimensional bounded domain with Dirichlet boundary conditions

open access: yesOpen Mathematics
In this article, we investigate the Euler-α\alpha equations in a three-dimensional bounded domain. On the one hand, we prove in the Euler setting that the equations are locally well-posed with initial data in Hs(s≥3){H}^{s}\left(s\ge 3).
Yuan Shaoliang   +3 more
doaj   +1 more source

Phase transitions in porous media. [PDF]

open access: yesNonlinear Differ Equ Appl, 2022
Gavioli C, Krejčí P.
europepmc   +1 more source

Moving planes and sliding methods for fractional elliptic and parabolic equations

open access: yesAdvanced Nonlinear Studies
In this paper, we summarize some of the recent developments in the area of fractional elliptic and parabolic equations with focus on how to apply the sliding method and the method of moving planes to obtain qualitative properties of solutions.
Chen Wenxiong, Hu Yeyao, Ma Lingwei
doaj   +1 more source

On a generalized Stokes problem

open access: yesOpen Mathematics, 2011
Mácha Václav
doaj   +1 more source

A linear condition determining local or global existence for nonlinear problems

open access: yesOpen Mathematics, 2013
Neuberger John   +2 more
doaj   +1 more source

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