Geodesic
Nontrivial solutions of boundary value problems for semilinear elliptic equations
Izvestiya. Mathematics , Tome 5 (1971) no. 2, pp. 445-457

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We find conditions under which boundary value problems for semilinear elliptic equations of order $2m$ have at least two solutions. 
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     author = {V. S. Klimov},
     title = {Nontrivial solutions of boundary value problems for semilinear elliptic equations},
     journal = {Izvestiya. Mathematics },
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     volume = {5},
     number = {2},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_2_a8/}
}
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V. S. Klimov. Nontrivial solutions of boundary value problems for semilinear elliptic equations. Izvestiya. Mathematics , Tome 5 (1971) no. 2, pp. 445-457. http://geodesic.mathdoc.fr/item/IM2_1971_5_2_a8/