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Vietnam
Journal of Mathematics 37:2&3 (2009) 387-397
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Recent Results in the Theory of Semilinear Elliptic
Degenerate Differential Equations
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Nguyen Minh Tri
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Abstract. In this paper we give a survey on
recent study of semilinear elliptic degenerate differential equations. Here
we will discuss the critical exponents phenomenon for boundary value
problems and interior regularities of solutions of various classes of such
equations. Similar problems for nonlinear elliptic equations were studied
in [2, 3, 10, 12, 13, 19, 24, 25, 28, 30-32, 44].
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2000 Mathematics Subject Classification: Primary 35-02;
Secondary 32V99, 33C05, 33C65, 35A08, 35B65, 35C15, 35H10, 35J70.
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Keywords: Elliptic degenerate equations, semilinear
equations, critical exponents, regularity of solutions.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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