Email this article EMBEDDING THEOREMS FOR WEIGHTED SOBOLEV SPACES AND ITS APPLICATIONS
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Received: 11/03/19 Published: 18/03/19Authors
1. Pham Thi Thuy
, University of Education – TNU2. Le Thi Hong Hanh, Hoa Lu University, Ninh Binh
Abstract
In this paper, we study the existence of solutions for degenerate elliptic equation
where is a bounded domain with smooth boundary in
This result is a generalization of that of N. M. Tri [N. M. Tri, Critical Sobolev exponent for hypoelliptic operators, Acta Mathematic Vietnamica, Vol.23 (1998), N1, 83 – 94.] and of D. T. Luyen, N. M. Tri [D. T. Luyen and N. M. Tri, On boundary value problem for semilinear degenerate elliptic differential equations, AIP Conf. Proc. 1450, 13 (2012), 13 - 17].
Keywords
Boundary value problems, Critical exponents, Critical values, Nontrivial solutions, Embedding theorems
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