5 papers
A Liouville comparison principle for solutions of semilinear elliptic second-order partial differential inequalities
Vasilii V. Kurta
We consider semilinear elliptic second-order partial differential inequalities of the form Lu +|u|q-1u < and = Lv +|v|q-1v (*) in the whole space Rn, where n > and = 2, q > 0 and L…
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 of semilinear parabolic second-order partial differential inequalities of the form $$ u_t -{\mathca…
A Liouville comparison principle for sub- and super-solutions of the equation
Vasilii V. Kurta
We establish a Liouville comparison principle for entire weak sub- and super-solutions of the equation in the half-space ${\mathbb S}= {\mathbb…
A Liouville comparison principle for entire sub- and super-solutions of the equation
Vasilii V. Kurta
We establish a Liouville comparison principle for entire sub- and super-solutions of the equation in the half-space ${\mathbb S}= {\mathbb R}^1_…
A Liouville comparison principle for solutions of quasilinear differential inequalities
Vasilii V. Kurta
This work is devoted to the study of a Liouville comparison principle for entire weak solutions of quasilinear differential inequalities of the form $A(u) + |u|^{q-1}u \leq A(v) +…