Hardy-Rellich identities with Bessel pairs. (English) Zbl 1414.26035
Summary: We prove an identity that implies the classical Rellich inequality as well as several improved versions of Rellich type inequalities. Moreover, our equality gives a simple perception of Rellich type inequalities as well as the nonexistence of extremizers.
MSC:
| 26D10 | Inequalities involving derivatives and differential and integral operators |
| 35A23 | Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals |
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
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