一类非齐次非局部拟线性抛物微分不等式解的Fujita型非存在性OA

This paper studies nonexistence of nontrivial nonnegative weak solutions for an inhomogeneous nonlocal weighted parabolic differential inequality in the whole space,involving p-Laplacian type quasilinear operator and the weight functions may be singular or degenerate at the origin.In the framework of test functions theory,modifying the nonlinear capacity method to derive precise a priori estimates and establish a new Fujita-type nonexistence theorem.