We present a global variational approach to the search for multiple nodal solutions u ∈ H1 (ℝN) to a class of elliptic equations of type -△u(x) = f (|x|,u(x)), x ∈ ℝN, where N ≧ 2, f is superlinear and subcritical, and f (|x|, 0) = 0
Conti, M., Merizzi, L., Terracini, S. (2000). Radial solutions of superlinear equations on ℝN part I: A global variational approach. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 153(4), 291-316 [10.1007/s002050050015].
Radial solutions of superlinear equations on ℝN part I: A global variational approach
TERRACINI, SUSANNA
2000
Abstract
We present a global variational approach to the search for multiple nodal solutions u ∈ H1 (ℝN) to a class of elliptic equations of type -△u(x) = f (|x|,u(x)), x ∈ ℝN, where N ≧ 2, f is superlinear and subcritical, and f (|x|, 0) = 0
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