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Non-trivial solutions of elliptic equations at resonance. (English) Zbl 0431.35040


MSC:

35J65 Nonlinear boundary value problems for linear elliptic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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References:

[1] Ambrosetti, Ann. Scuola Norm. Sup. Pisa 5 pp 15– (1978)
[2] Ambrosetti, Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 52 pp 660– (1972)
[3] DOI: 10.1512/iumj.1976.25.25074 · Zbl 0351.35036 · doi:10.1512/iumj.1976.25.25074
[4] DOI: 10.1007/BF01644075 · Zbl 0244.58001 · doi:10.1007/BF01644075
[5] DOI: 10.1016/0022-1236(73)90051-7 · Zbl 0273.49063 · doi:10.1016/0022-1236(73)90051-7
[6] Rabinowitz, Nonlinear analysis. (1978)
[7] Mizohata, The theory of partial differential equations (1973) · Zbl 0263.35001
[8] DOI: 10.1512/iumj.1972.22.22008 · Zbl 0228.58006 · doi:10.1512/iumj.1972.22.22008
[9] DOI: 10.1007/BF01214063 · Zbl 0372.35035 · doi:10.1007/BF01214063
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