Results 61 to 70 of about 1,232 (82)

Qualitative properties of solutions to the viscoelastic beam equation with damping and logarithmic nonlinear source terms

open access: yesAdvances in Nonlinear Analysis
In this article, we consider the initial-boundary value problem for a class of viscoelastic extensible beam equations with logarithmic source term, strong damping term, and weak damping term.
Gao Yanchao, Pan Bingbai
doaj   +1 more source

Variations in the geometry of the basins of escape in a modified Hénon–Heiles potential

open access: yesDemonstratio Mathematica
In this article, we show how the curves that limit the basins of escape in a version of a Hénon–Heiles potential with a singularity at the origin evolve with the energy.
Navarro Juan F.
doaj   +1 more source

Infinitely many solutions for Hamiltonian system with critical growth

open access: yesAdvances in Nonlinear Analysis
In this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain:−Δu=K1(∣y∣)∣v∣p−1v,inB1(0),−Δv=K2(∣y∣)∣u∣q−1u,inB1(0),u=v=0on∂B1(0),\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em ...
Guo Yuxia, Hu Yichen
doaj   +1 more source

On a generalized Stokes problem

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

On semilinear inequalities involving the Dunkl Laplacian and an inverse-square potential outside a ball

open access: yesAdvances in Nonlinear Analysis
Let Δk{\Delta }_{k} be the Dunkl generalized Laplacian operator associated with a root system RR of RN{{\mathbb{R}}}^{N}, N≥2N\ge 2, and a nonnegative multiplicity function kk defined on RR and invariant by the finite reflection group WW.
Jleli Mohamed   +2 more
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

Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator

open access: yesOpen Mathematics
In this note, we study a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear pseudo-parabolic equation for the Baouendi-Grushin operator.
Dukenbayeva Aishabibi
doaj   +1 more source

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