Abstract
We prove that for some supercritical exponents p > N + 2 N − 2 and for some smooth domains D in R N there are infinitely many (distinct) positive solutions to the following Lane–Emden–Fowler equation: { − Δ u = u p , u > 0 , in D , u = 0 , on ∂ D This seems to be the first result for such type of equations.
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