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Infinitely many positive solutions for an elliptic problem with critical or supercritical growth |
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| Authors: | Juncheng Wei Shusen Yan |
| Institution: | 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. |
| Keywords: | Critical or supercritical elliptic problem Infinitely many positive solutions Reduction method |
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