Problem with critical Sobolev exponent and with weight
Rejeb Hadiji, Habib Yazidi
TL;DR
This paper investigates the existence of solutions for a mathematical problem involving the critical Sobolev exponent and a positive weight, addressing challenges in nonlinear analysis.
Contribution
It provides new existence results for equations with critical Sobolev exponent and weighted terms, expanding understanding in nonlinear PDEs.
Findings
Existence of solutions established under certain conditions
Conditions for the weight function identified
New methods for handling critical exponent problems introduced
Abstract
We study existence results for a problem with criticical Sobolev exponent and with a positive weight.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Harmonic Analysis Research · Differential Equations and Boundary Problems