N‐Laplacian equations in ℝN with critical growth

João Marcos B. do Ó

Abstract and Applied Analysis, 1997, vol. 2, issue 3-4, 301-315

Abstract: We study the existence of nontrivial solutions to the following problem: {u∈W1,N(ℝN),u≥0 and−div(|∇u|N−2∇u)+a(x)|u|N−2u=f(x,u) in ℝN(N≥2), where a is a continuous function which is coercive, i.e., a(x) → ∞ as |x| → ∞ and the nonlinearity f behaves like exp(α|u|N/(N−1)) when |u| → ∞.

Date: 1997
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https://doi.org/10.1155/S1085337597000419

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2:y:1997:i:3-4:p:301-315

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