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Parabolic Differential Equations and Inequalities with Several Time Variables.

Wolfgang Walter (1986)

Mathematische Zeitschrift

Parabolic inequalities in $L^{1}$ as limits of renormalized equations.

Azelmat, K., Alaoui, M.Kbiri, Meskine, D., Souissi, A. (2006)

International Journal of Mathematics and Mathematical Sciences

Parabolic inequalities with nonstandard growths and $L^{1}$ data.

Aboulaich, R., Achchab, B., Meskine, D., Souissi, A. (2006)

Boundary Value Problems [electronic only]

Phragmén-Lindelöf and nonexistence theorems for nonlinear elliptic equations.

Patricio Aviles (1983)

Manuscripta mathematica

Pointwise Accuracy of a Finite Element Method for Nonlinear Variational Inequalities.

Ricardo H. Nochetto (1989)

Numerische Mathematik

Positive solutions of inequality with $p$ -Laplacian in exterior domains

Robert Mařík (2002)

Mathematica Bohemica

In the paper the differential inequality $Δ_{p} u + B (x, u) \leq 0,$ where $Δ_{p} u = {div (∥ \nabla u ∥}^{p - 2} \nabla u)$ , $p > 1$ , $B (x, u) \in C (ℝ^{n} \times ℝ, ℝ)$ is studied. Sufficient conditions on the function $B (x, u)$ are established, which guarantee nonexistence of an eventually positive solution. The generalized Riccati transformation is the main tool.

Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains

Vladimir Kondratiev, Vitali Liskevich, Vitaly Moroz (2005)

Annales de l'I.H.P. Analyse non linéaire

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