Sign-changing solutions for a Yamabe type problem
Mohamed Bekiri, Mohammed Elamine Sebih
TL;DR
This paper studies the existence of solutions that change sign for a critical elliptic equation involving a Yamabe type operator on compact manifolds with boundary, under certain geometric conditions.
Contribution
It establishes the existence of sign-changing solutions for a Yamabe type problem on manifolds with boundary, extending previous results to new geometric settings.
Findings
Existence of sign-changing solutions under geometric conditions
Extension of Yamabe problem solutions to manifolds with boundary
Conditions ensuring solutions change sign
Abstract
In this paper, we investigate the existence of sign-changing solutions to a critical elliptic equation involving a Yamabe type operator on a compact manifold with boundary. The existence result is assured under some geometric conditions.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Nonlinear Differential Equations Analysis · Contact Mechanics and Variational Inequalities