Ontology type: schema:ScholarlyArticle Open Access: True
2018-12
AUTHORSRui Yan, Xiaocui Li
ABSTRACTThis paper is concerned with the existence of entire solutions for a reaction-diffusion equation with doubly degenerate nonlinearity. Here the entire solutions are the classical solutions that exist for all [Formula: see text]. With the aid of the comparison theorem and the sup-sub solutions method, we construct some entire solutions that behave as two opposite traveling front solutions with critical speeds moving towards each other from both sides of x-axis and then annihilating. In addition, we apply the existence theorem to a specially doubly degenerate case. More... »
PAGES147
http://scigraph.springernature.com/pub.10.1186/s13662-018-1606-y
DOIhttp://dx.doi.org/10.1186/s13662-018-1606-y
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PUBMEDhttps://www.ncbi.nlm.nih.gov/pubmed/29721008
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