Nonlinear integral inequality in two independent variables [PDF]
In this note, the authors obtain a generalization of the integral inequality of Bihari [1] to a nonlinear inequality in two independent variables. With the aid of this inequality a bound for the solution of a nonlinear partial differential equation is established.
P. T. Vaz, S. G. Deo
wiley +4 more sources
On semilinear inequalities involving the Dunkl Laplacian and an inverse-square potential outside a ball [PDF]
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 +2 more sources
This work is concerned with the nonexistence of nontrivial nonnegative weak solutions for a quasilinear parabolic differential inequality with weighted nonlocal source term in the whole space, which involves weighted polytropic filtration operator or ...
Li Yuepeng, Fang Zhong Bo
doaj +1 more source
Uniqueness in Rough Almost Complex Structures and Differential Inequalities [PDF]
We prove that for almost complex structures of H\"older class at least 1/2, any J-holomorphic disc, that is constant on some non empty open set, is constant. This is in striking contrast with well known, trivial, non-uniqueness results.
Rosay, Jean-Pierre
core +3 more sources
On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions [PDF]
In this paper, we study the longtime asymptotic behavior of a phase separation process occurring in a three-dimensional domain containing a fluid flow of given velocity. This process is modeled by a viscous convective Cahn-Hilliard system, which consists
Colli, Pierluigi +2 more
core +3 more sources
Global and blow-up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux [PDF]
This work is concerned with positive classical solutions for a quasilinear parabolic equation with a gradient term and nonlinear boundary flux. We find sufficient conditions for the existence of global and blow-up solutions.
Changjun Li, Lu Sun, Zhong Fang
core +1 more source
SOME NONLINEAR DIFFERENTIAL INEQUALITIES AND AN APPLICATION TO HÖLDER CONTINUOUS ALMOST COMPLEX STRUCTURES [PDF]
. We consider some second order quasilinear partial differential inequalities for real valued functions on the unit ball and find conditions under which there is a lower bound for the supremum of nonnegative solutions that do not vanish at the origin. As
Adam Coffman, Yifei Pan
core +1 more source
Impulsive nonlocal nonlinear parabolic differential problems
The aim of the paper is to prove a theorem about a weak impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities. A weak maximum principle for an impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities and an uniqueness criterion for the
Ludwik Byszewski
wiley +1 more source
Bifurcation analysis of a predator-prey system with self- and cross-diffusion and constant harvesting rate [PDF]
In this paper, we focus on a ratio dependent predator-prey system with self- and cross-diffusion and constant harvesting rate. By making use of a brief stability and bifurcation analysis, we derive the symbolic conditions for Hopf, Turing and wave ...
Baek, H.
core +2 more sources
In [4] and [5], the author studied strong maximum principles for nonlinear parabolic problems with initial and nonlocal inequalities, respectively. Our purpose here is to extend results in [4] and [5] to strong maximum principles for nonlinear parabolic problems with nonlocal inequalities together with integrals.
Ludwik Byszewski
wiley +1 more source

