Uniqueness of bounded solutions to a viscous diffusion equation.
Note on blow-up of solutions for a porous medium equation with convection and boundary flux
De Pablo et al. [Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), 513-530] considered a nonlinear boundary value problem for a porous medium equation with a convection term, and they classified exponents of nonlinearities which lead either to the global-in-time existence of solutions or to a blow-up of solutions. In their analysis they left open the case of a certain critical range of exponents. The purpose of this note is to fill this gap.
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.
Positive solutions for one-dimensional singular p-Laplacian boundary value problems
We consider the existence of positive solutions of the equation , where , p > 1, subject to some singular Sturm-Liouville boundary conditions. Using the Krasnosel’skiĭ fixed point theorem for operators on cones, we prove the existence of positive solutions under some structure conditions.
Radial symmetric solutions of the Cahn-Hilliard equation with degenerate mobility.
Asymptotic behaviour of solutions for porous medium equation with periodic absorption.
Uniqueness of solutions to a system of differential inclusions.
A note on strong resonance problems for -Laplacian.
Multiplicity of positive solutions for a fourth-order quasilinear singular differential equation.
Existence of time periodic solutions for one-dimensional Newtonian filtration equation with multiple delays.
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