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doi: 10.1090/proc/12948
handle: 11576/2664309 , 11565/3997365
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.
SUBELLIPTIC EQUATIONS, CARNOT GROUPS, MULTIPLE SOLUTIONS, CRITICAL POINT RESULTS, Applied Mathematics, General Mathematics, Subelliptic equations, Carnot groups, multiple solutions, critical point results
SUBELLIPTIC EQUATIONS, CARNOT GROUPS, MULTIPLE SOLUTIONS, CRITICAL POINT RESULTS, Applied Mathematics, General Mathematics, Subelliptic equations, Carnot groups, multiple solutions, critical point results
citations 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). | 15 | |
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. | Top 10% |