A note on the positive energy solutions for elliptic equations involving critical sobolev exponents Original Research Article

In this paper, we study the Neumann problem for a class of semilinear elliptic equations View the MathML source where Ω is the unit ball in RN centered at the origin, N 〉- 3, 2∗ = 2N/(N −2), 1 < q < 2, μ > 0. By cutting the unit ball into angular sectors and using the variational method to deal with a mixed boundary value problem on such domains, we prove the existence of infinitely many nonradial solutions with positive energy for small μ > 0.