aDepartment of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong;bDepartment of Mathematics, The University of New England, Armidale, NSW 2351, Australia
Abstract:
We prove that for some supercritical exponents and for some smooth domains D in RN there are infinitely many (distinct) positive solutions to the following Lane–Emden–Fowler equation: This seems to be the first result for such type of equations.