Alves, C. O.de Morais Filho, D. C.Souto, M. A. S.2018-08-242018-08-241996-08-30Alves, 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. 1-12.1072-6691https://hdl.handle.net/10877/7608We 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.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalRadial solutionsCritical Sobolev exponentsPalais-Smale conditionMountain Pass TheoremArticle