Results 11 to 20 of about 688 (61)

On a Class of Reaction-Diffusion Equations with Aggregation

open access: yesAdvanced Nonlinear Studies, 2021
In this paper, global-in-time existence and blow-up results are shown for a reaction-diffusion equation appearing in the theory of aggregation phenomena (including chemotaxis).
Chen Li   +2 more
doaj   +1 more source

A-priori bounds for quasilinear problems in critical dimension

open access: yesAdvances in Nonlinear Analysis, 2019
We establish uniform a-priori bounds for solutions of the quasilinear ...
Romani Giulio
doaj   +1 more source

On Removable Singularities of Solutions of Higher-Order Differential Inequalities

open access: yesAdvanced Nonlinear Studies, 2020
We obtain sufficient conditions for solutions of the mth-order differential ...
Kon’kov A. A., Shishkov A. E.
doaj   +1 more source

Lack of smoothing for bounded solutions of a semilinear parabolic equation

open access: yesAdvances in Nonlinear Analysis, 2020
We study a semilinear parabolic equation that possesses global bounded weak solutions whose gradient has a singularity in the interior of the domain for all t > 0.
Fila Marek, Lankeit Johannes
doaj   +1 more source

Blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients under Neumann boundary conditions

open access: yesOpen Mathematics, 2020
In this paper, the blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients are investigated under Neumann boundary conditions.
Tian Huimin, Zhang Lingling
doaj   +1 more source

Nodal Blow-Up Solutions to Slightly Subcritical Elliptic Problems with Hardy-Critical Term

open access: yesAdvanced Nonlinear Studies, 2017
The paper is concerned with the slightly subcritical elliptic problem with Hardy-critical ...
Bartsch Thomas, Guo Qianqiao
doaj   +1 more source

On type I blow up formation for the critical NLW [PDF]

open access: yes, 2013
We introduce a suitable concept of weak evolution in the context of the radial quintic focussing semilinear wave equation on $\mathbb{R}^{3+1}$, that is adapted to continuation past type II singularities.
Krieger, Joachim, Wong, Willie
core   +2 more sources

Global existence and blow-up of weak solutions for a class of fractional p-Laplacian evolution equations

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy,
Liao Menglan, Liu Qiang, Ye Hailong
doaj   +1 more source

Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case

open access: yesAdvances in Nonlinear Analysis, 2021
Our purpose of this paper is to study positive solutions of Lane-Emden ...
Ma Yong, Wang Ying, Ledesma César T.
doaj   +1 more source

Semilinear wave equation on compact Lie groups

open access: yes, 2020
In this note, we study the semilinear wave equation with power nonlinearity $|u|^p$ on compact Lie groups. First, we prove a local in time existence result in the energy space via Fourier analysis on compact Lie groups.
Palmieri, Alessandro
core   +1 more source

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