Geodesic
On existence of solutions for elliptic equations at resonance
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 44-48

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The paper devoted to generalization of one theorem by V. N. Pavlenko and V. V. Vinokur (2001) on existence for semilinear elliptic boundary value problems at resonance. In distinct from mentioned result, we consider unbounded nonlinearity and give new sufficient conditions on its growth for existance of solutions. 
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     author = {M. G. Lepchinski},
     title = {On existence of solutions for elliptic equations at resonance},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {44--48},
     publisher = {mathdoc},
     number = {10},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a5/}
}
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M. G. Lepchinski. On existence of solutions for elliptic equations at resonance. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 44-48. http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a5/