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Abstract We concern in this paper the graph Yamabe equation Δ u + h u = g | u | p − 2 u , with known functions h and… Click to show full abstract
Abstract We concern in this paper the graph Yamabe equation Δ u + h u = g | u | p − 2 u , with known functions h and g on an infinite graph, the prototype of which comes from the smooth Yamabe equation on an open manifold. We prove the existence of a solution to the graph Yamabe equation under the assumption that (1) the graph Laplacian Δ is a bounded operator and (2) g is bounded and h is large at infinity.
Keywords:
infinite graphs;
yamabe equations;
graph;
equations infinite;
yamabe equation
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!