Nonexistence of Global Weak Solutions for Evolution Equations with Fractional Laplacian of the method of test functions, the nonexistence of nontrivial global weak
solutions is demonstrated
On Global Classical Solutions of Hyperbolic Differential-Difference Equations© 2020, Pleiades Publishing, Ltd. Abstract: A one-parameter family of global
solutions of a two
On Global Solutions of Second-Order Quasilinear Elliptic Inequalities}^n$. For nonnegative
solutions of these inequalities, precise conditions for the absence of nontrivial
solutions String solutions in the S2 nonlinear σ-model with a gauge field. By using a direct variational method we demonstrate the existence of string-like
solutions in this model