A note on a mountain pass characterization of least energy solutions

Louis Jeanjean, Kazunaga Tanaka

    Research output: Contribution to journal › Article

    21 Citations (Scopus)

    Abstract

    We consider the equation -u" = g(u), u(x) ∈ H1(R). (0.1) Under general assumptions on the nonlinearity g we prove that the, unique up to translation, solution of (0.1) is at the mountain pass level of the associated functional. This result extends a corresponding result for least energy solutions when (0.1) is set on RN.

    Original languageEnglish
    Pages (from-to)445-455
    Number of pages11
    JournalAdvanced Nonlinear Studies
    Volume3
    Issue number4
    Publication statusPublished - 2003

    Fingerprint

    Least Energy Solutions
    Mountain Pass
    mountains
    nonlinearity
    Nonlinearity
    energy

    Keywords

    • Least energy solution
    • Mountain pass characterization

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematics(all)

    Cite this

    A note on a mountain pass characterization of least energy solutions. / Jeanjean, Louis; Tanaka, Kazunaga.

    In: Advanced Nonlinear Studies, Vol. 3, No. 4, 2003, p. 445-455.

    Research output: Contribution to journal › Article

    Jeanjean, L & Tanaka, K 2003, 'A note on a mountain pass characterization of least energy solutions', Advanced Nonlinear Studies, vol. 3, no. 4, pp. 445-455.
    Jeanjean L, Tanaka K. A note on a mountain pass characterization of least energy solutions. Advanced Nonlinear Studies. 2003;3(4):445-455.
    Jeanjean, Louis ; Tanaka, Kazunaga. / A note on a mountain pass characterization of least energy solutions. In: Advanced Nonlinear Studies. 2003 ; Vol. 3, No. 4. pp. 445-455.
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