Hadeel Alhatlani

Double criticality for a Hardy–Rellich biharmonic heat equation in an exterior domain

We study the existence and nonexistence of weak solutions to an inhomogeneous semilinear biharmonic heat equation in an exterior domain involving a Hardy–Rellich potential, a weighted nonlinearity of the form | 𝑥 | 𝜎 ⁢ | 𝑢 | 𝑝 , and a source term 𝑓 ⁡ ( 𝑥 ) . We identify two disti...