V. Kurta

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20092021

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math.AP2012

A Liouville comparison principle for solutions of semilinear parabolic second-order partial differential inequalities

Vasilii V. Kurta

We obtain a new Liouville comparison principle for entire weak solutions $(u, v)$ of semilinear parabolic second-order partial differential inequalities of the form $$ u_t -{\mathca…

math.AP2012

A Liouville comparison principle for sub- and super-solutions of the equation $w_{t} - Δ_{p} (w) = ∣ w ∣^{q - 1} w$

Vasilii V. Kurta

We establish a Liouville comparison principle for entire weak sub- and super-solutions of the equation $(*)$ $w_{t} - Δ_{p} (w) = ∣ w ∣^{q - 1} w$ in the half-space ${\mathbb S}= {\mathbb…

A Liouville comparison principle for solutions of semilinear parabolic second-order partial differential inequalities

A Liouville comparison principle for sub- and super-solutions of the equation wt​−Δp​(w)=∣w∣q−1w

A Liouville comparison principle for sub- and super-solutions of the equation $w_{t} - Δ_{p} (w) = ∣ w ∣^{q - 1} w$