Radially Symmetric Solutions for a Class of Critical Exponent Elliptic Problems in RN
Date
1996-08-30
Authors
Alves, C. O.
de Morais Filho, D. C.
Souto, M. A. S.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We give a method for obtaining radially symmetric solutions for the critical exponent problem
{ −∆u + α(x)u = λuq + u2*−1 in ℝN
u > 0 and ∫ℝN |∇u|2 < ∞
where, outside a ball centered at the origin, the non-negative function a is bounded from below by a positive constant ao > 0. We remark that, differently from the literature, we do not require any conditions on α at infinity.
Description
Keywords
Radial solutions, Critical Sobolev exponents, Palais-Smale condition, Mountain Pass Theorem
Citation
Alves, C. O., de Morais Filho, D. C., & Souto, M. A. S. (1996). Radially symmetric solutions for a class of critical exponent elliptic problems in RN. <i>Electronic Journal of Differential Equations, 1996</i>(07), pp. 1-12.
Rights
Attribution 4.0 International