Global existence of solutions of a nonlinear degenerate parabolic problem

Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation

This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.

Blow-up and global existence profile of a class of fully nonlinear degenerate parabolic equations

This paper is mainly concerned with the blow-up and global existence profile for the Cauchy problem of a class of fully nonlinear degenerate parabolic equations with reaction sources. MSC: 35B33, 35B40, 35K65, 35K55

On a Fourth-order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions

By means of energy and entropy estimates, we prove existence and positivity results in higher space dimensions for degenerate parabolic equations of fourth order with nonnegative initial values. We discuss their asymptotic behavior for t → ∞ and give a counterexample to uniqueness.

On a Fourth Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence and Qualitative Behaviour of Solutions

By means of energy and entropy estimates, we prove existence and positivity results in higher space dimensions for degenerate parabolic equations of fourth order with nonnegative initial values. We discuss their asymptotic behaviour for t ! 1 and give a counterexample to uniqueness. 0. Introduction In this paper we will present new results on existence, (non)uniqueness, positivity and asymptoti...

Global existence of solutions to a parabolic-elliptic chemotaxis system with critical degenerate di ffusion