Results 1 to 10 of about 107 (31)
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
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On semilinear inequalities involving the Dunkl Laplacian and an inverse-square potential outside a ball [PDF]
Advances in Nonlinear AnalysisLet 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
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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
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Impulsive nonlocal nonlinear parabolic differential problems
International Journal of Stochastic Analysis, Volume 6, Issue 3, Page 247-260, 1993., 1993 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
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International Journal of Stochastic Analysis, Volume 3, Issue 1, Page 65-79, 1990., 1990 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
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Advances in Nonlinear Analysis, 2014 We obtain a new Liouville comparison principle for weak solutions (u,v) of semilinear parabolic second-order partial differential inequalities of the form ut-ℒu-|u|q-1u≥vt-ℒv-|v|q-1v(*)$u_t -{\mathcal {L}}u- |u|^{q-1}u\ge v_t -{\mathcal {L}}v- |v|^{q-1}v\
Kurta Vasilii V.
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A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities
Advances in Nonlinear Analysis, 2015 We obtain a Liouville comparison principle for entire weak solutions (u,v) of quasilinear singular parabolic second-order partial differential inequalities of the form ut-A(u)-|u|q-1u≥vt-A(v)-|v|q-1v${ u_t - A(u)-|u|^{q-1}u \ge v_t - A (v)-|v|^{q-1}v ...
Kurta Vasilii V.
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Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups
Advances in Nonlinear Analysis, 2018 Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.
D’Ambrosio Lorenzo, Mitidieri Enzo
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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
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Existence and nonexistence results for reaction-diffusion equations in product of cones
Open Mathematics, 2003 Hamidi Abdallah, Laptev Gennady
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