Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials
Mousomi Bhakta, Roberta Musina
TL;DR
This paper investigates the existence, multiplicity, and qualitative properties of entire solutions to a class of variational problems involving the biharmonic operator and Rellich potentials, focusing on inequalities with weights.
Contribution
It introduces new results on entire solutions for variational problems with biharmonic operators and Rellich potentials, expanding understanding of weighted inequalities.
Findings
Established existence of solutions under certain conditions
Proved multiplicity results for solutions
Analyzed qualitative properties of solutions
Abstract
We study existence, multiplicity and qualitative properties of entire solutions for a noncompact problem related to second-order interpolation inequalities with weights.
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