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On entire solutions of quasilinear equations with a quadratic principal part
Volgograd State University, Russia.
Volgograd State University, Russia.ORCID iD: 0000-0002-8422-6140
2008 (English)In: Vestn. Samar. Gos. Univ. Estestvennonauchn. Ser., ISSN 1810-5378, 108-123 p.Article in journal (Refereed) Published
Abstract [en]

We establish the existence of a countable family of entire solutions for a class of quasilinear equations including Simon's equation. In particular, we show that all obtained solutions have a polynomial growth and their topological structure is similar to that of harmonic polynomials.

Place, publisher, year, edition, pages
2008. 108-123 p.
Keyword [en]
Entire solutions; elliptic type partial differential equations
National Category
Mathematical Analysis
URN: urn:nbn:se:liu:diva-79623OAI: diva2:607576
Available from: 2013-02-25 Created: 2012-08-11 Last updated: 2014-10-08

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Tkachev, Vladimir
Mathematical Analysis

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