Abstract
We consider the existence of multiple solutions of the singular elliptic problem , u(x) → 0 as |x| → +∞, where x ∈ ℝN, 1 < p < N, a < (N − p)/p, a ≤ b ≤ a + 1, r, s > 1, p* = Np/(N − pd), d = a + 1 − b. By the variational method and the theory of genus, we prove that the above‐mentioned problem has infinitely many solutions when some conditions are satisfied.
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