We study the effect of a forcing term in the context of the search of multiple nodal solutions u ∈ H1 (ℝN) to a class of elliptic equations of type -△u(x) = f (|x|, u(x0) + h(|x|). x ∈ ℝN. where f(|x|, 0) ≡ 0 and f is superlinear but subcritical at infinity
Conti, M., Terracini, S. (2000). Radial solutions of superlinear equations on ℝN part II: The forced case. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 153(4), 317-339 [10.1007/s002050050016].
Radial solutions of superlinear equations on ℝN part II: The forced case
TERRACINI, SUSANNA
2000
Abstract
We study the effect of a forcing term in the context of the search of multiple nodal solutions u ∈ H1 (ℝN) to a class of elliptic equations of type -△u(x) = f (|x|, u(x0) + h(|x|). x ∈ ℝN. where f(|x|, 0) ≡ 0 and f is superlinear but subcritical at infinity
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