Nonexistence of local solutions to semilinear partial differential inequalities
Nonexistence of positive solution for quasilinear elliptic problems in the half-space.
Nonexistence of solutions to systems of higher-order semilinear inequalities in cone-like domains.
Nonexistence theorems for weak solutions of quasilinear elliptic equations.
On a differential inequality for a viscous compressible heat conducting capillary fluid bounded by a free surface
We derive a global differential inequality for solutions of a free boundary problem for a viscous compressible heat concluding capillary fluid. The inequality is essential in proving the global existence of solutions.
On a inequality of Friedrichs.
On a Liouville phenomenon for entire weak supersolutions of elliptic partial differential equations
On comparison principles for parabolic equations with nonlocal boundary conditions.
On partial differential inequalities of the first order
On singular non-linear parabolic differential inequalities in unbounded domains
On the quasiuniqueness of solutions of degenerate equations in Hilbert space.
On the regularity of solutions in Convex Integration theory.
On the strong unique continuation prinicple for inequalities of Maxwell type.
On the uniqueness of initial-value problems for partial differential equations of the first order
Parabolic Differential Equations and Inequalities with Several Time Variables.
Parabolic inequalities in as limits of renormalized equations.
Parabolic inequalities with nonstandard growths and data.
Phragmén-Lindelöf and nonexistence theorems for nonlinear elliptic equations.
Pointwise Accuracy of a Finite Element Method for Nonlinear Variational Inequalities.
Positive solutions of inequality with -Laplacian in exterior domains
In the paper the differential inequality where , , is studied. Sufficient conditions on the function are established, which guarantee nonexistence of an eventually positive solution. The generalized Riccati transformation is the main tool.