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math.AP2026
Apriori Estimates and Nonexistence Results for Some Quasilinear Problems in a Half-Space
Evgeny Galakhov, Olga Salieva
We obtain apriori estimates for positive solutions of some quasilinear elliptic problems in a half-space. Using these estimates and other techniques, we derive new nonexistence res…
math.AP2019
Nonexistence of global weak solutions for evolution equations with fractional Laplacian
Ahmad Z. Fino, Evgeny I. Galakhov, Olga A. Salieva
In this paper, we are interested to analyze a nonlocal nonlinear parabolic equation with fractional Laplacian. We show that there are no nontrivial global weak solutions using the…