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Semilinear elliptic equations on unbounded domains

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References

  1. Ambrosetti, A., Rabinowitz, P.H.: Dual variational methods in critical point theory and applications. J. Funct. Anal.14, 349–381 (1973)

    Google Scholar 

  2. Amick, C.J., Toland, J.F.: Nonlinear elliptic eigenvalue problems on an infinite strip-global theory of bifurcation and asymptotic bifurcation. Math. Ann.262, 313–342 (1983)

    Google Scholar 

  3. Berestycki, H., Lions, P.-L.: Nonlinear scalar field equations, I existence of a ground state, II existence of infinitely many solutions. Arch. Rational Mech. Anal.82, 313–345 (1983)

    Google Scholar 

  4. Berestycki, H., Lions, P.-L.: Nonlinear scalar field equations, I existence of a ground state, II existence of infinitely many solutions. Arch. Rational Mech. Anal.82, 346–375 (1983)

    Google Scholar 

  5. Bongers, A., Heinz, H.P., Küpper, T.: Existence and bifurcation theorems for nonlinear elliptic eigenvalue problems on unbounded domains. J. Differ. Equations47, 327–357 (1983)

    Google Scholar 

  6. Esteban, M.J.: Nonlinear elliptic problems in strip-like domains-symmetry of positive vortex rings. Nonlinear Anal.7, 365–379 (1983)

    Google Scholar 

  7. Gidas, B., Ni, W.-M., Nirenberg, L.: Symmetry and related properties via the maximum principle. Commun. Math. Phys.68, 209–243 (1979)

    Google Scholar 

  8. Hardy, G.H., Littlewood, J.E., Polya, G.: Inequalities. Cambridge: University Press 1934

    Google Scholar 

  9. Hofer, H.: Variational and topological methods in partially ordered Hilbert spaces. Math. Ann.261, 493–514 (1982)

    Google Scholar 

  10. Lieb, E.H.: Existence and Uniqueness of the minimizing solution of Choquard's nonlinear equation. Stud. Appl. Math.57, 93–105 (1977)

    Google Scholar 

  11. Lions, P.-L.: Symetrie et compacité dans les espaces de Sobolev. J. Funct. Anal.49, 315–334 (1982)

    Google Scholar 

  12. Stuart, C.A.: A variational approach to bifurcation inL p on an unbounded symmetrical domain. Math. Ann.263, 51–59 (1983)

    Google Scholar 

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Burton, G.R. Semilinear elliptic equations on unbounded domains. Math Z 190, 519–525 (1985). https://doi.org/10.1007/BF01214751

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  • DOI: https://doi.org/10.1007/BF01214751

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