Symmetry and monotonicity of singular solutions of double phase problems
Stefano Biagi, Francesco Esposito, Eugenio Vecchi
2021Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna)28 citationsDOIOpen Access PDF
Abstract
We consider positive singular solutions of PDEs arising from double phase functionals. Exploiting a rather new version of the moving plane method originally developed by Sciunzi, we prove symmetry and monotonicity properties of such solutions.
Topics & Concepts
Monotonic functionMathematicsSymmetry (geometry)Plane (geometry)Phase (matter)Pure mathematicsSingular solutionSymmetry in biologyMathematical analysisApplied mathematicsGeometryQuantum mechanicsPhysicsNonlinear Partial Differential EquationsNonlinear Differential Equations AnalysisAdvanced Mathematical Physics Problems