Subelliptic and parametric equations on Carnot groups
Copyright policy )Subelliptic and parametric equations on Carnot groups
This article concerns a class of elliptic equations on Carnot groups depending on one real parameter. Our approach is based on variational methods. More precisely, we establish the existence of at least two weak solutions for the treated problem by using a direct consequence of the celebrated Pucci-Serrin theorem and of a local minimum result for differentiable functionals due to Ricceri.
- University of Milan Italy
- University of Urbino Italy
- National Institute for Nuclear Physics Italy
- University of Reggio Calabria Italy
- Università Luigi Bocconi Italy
multiple solutions, Semilinear elliptic equations, Applied Mathematics, General Mathematics, Nilpotent and solvable Lie groups, subelliptic equations, Subelliptic equations, PDEs on Heisenberg groups, Lie groups, Carnot groups, etc., SUBELLIPTIC EQUATIONS, CARNOT GROUPS, MULTIPLE SOLUTIONS, CRITICAL POINT RESULTS, critical point results, Carnot groups, Subelliptic equations, Carnot groups, multiple solutions, critical point results
multiple solutions, Semilinear elliptic equations, Applied Mathematics, General Mathematics, Nilpotent and solvable Lie groups, subelliptic equations, Subelliptic equations, PDEs on Heisenberg groups, Lie groups, Carnot groups, etc., SUBELLIPTIC EQUATIONS, CARNOT GROUPS, MULTIPLE SOLUTIONS, CRITICAL POINT RESULTS, critical point results, Carnot groups, Subelliptic equations, Carnot groups, multiple solutions, critical point results
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).12 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!