Results 1 to 10 of about 127 (42)
Global and blow-up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux [PDF]
Journal of Inequalities and Applications, 2014 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, Z. Fang
semanticscholar +3 more sources
Nonlinear integral inequality in two independent variables [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 1, Page 115-119, 1988., 1986 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
Weak solutions of functional differential inequalities with first-order partial derivatives
Journal of Inequalities and Applications, 2011 The article deals with functional differential inequalities generated by the Cauchy problem for nonlinear first-order partial functional differential equations. The unknown function is the functional variable in equation and inequalities, and the partial
Kamont Zdzisław
doaj +2 more sources
Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation
, 2021 In this work we study the semi-discrete linearized Benjamin-Bona-Mahony equation (BBM) which is a model for propagation of one-dimensional, unidirectional, small amplitude long waves in non-linear dispersive media.
R. Lecaros +2 more
semanticscholar +1 more source
Advances in Nonlinear Analysis, 2023 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
The linear constraints in Poincaré and Korn type inequalities [PDF]
, 2006 We investigate the character of the linear constraints which are needed for Poincaré and Korn type inequalities to hold. We especially analyze constraints which depend on restriction on subsets of positive measure and on the trace on a portion of the ...
G. Alessandrini, A. Morassi, E. Rosset
semanticscholar +1 more source
A Critical Phenomenon for Sublinear Elliptic Equations in Cone‐Like Domains [PDF]
, 2003 The authors of this paper study positive supersolutions to the elliptic equation ‐Δu = c|x|−sup in Cone‐like domains of RN (N ⩾ 2), where p, s ∈ R and c > 0.
V. Kondratiev +3 more
semanticscholar +1 more source
Uniqueness in Rough Almost Complex Structures and Differential Inequalities [PDF]
, 2009 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
Isolated Singularities of Polyharmonic Inequalities [PDF]
, 2010 We study nonnegative classical solutions $u$ of the polyharmonic inequality $-\Delta^m u > 0$ in a punctured neighborhood of the origin in $R^n$. We give necessary and sufficient conditions on integers $n\ge 2$ and $m\ge 1$ such that these solutions $u ...
Ghergu, Marius +2 more
core +2 more sources
Mean curvature flow with obstacles [PDF]
, 2012 We consider the evolution of fronts by mean curvature in the presence of obstacles. We construct a weak solution to the flow by means of a variational method, corresponding to an implicit time-discretization scheme.
Almeida, Luís +2 more
core +5 more sources