Geodesic
On solvability of semilinear second-order elliptic equations on closed manifolds
Izvestiya. Mathematics , Tome 86 (2022) no. 5, pp. 925-942

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The paper is concerned with solvability in the class of weak solutions of one class of semilinear elliptic second-order differential equations on arbitrary closed manifolds. These equations are inhomogeneous analogues of the stationary Kolmogorov–Petrovskii–Piskunov–Fisher equation, and have great applied and mathematical value.
Keywords: Kolmogorov–Petrovskii–Piskunov–Fisher equation, stationary solutions, nonlinear elliptic equations on manifolds, weak solutions, strong solutions. 
@article{IM2_2022_86_5_a5,
     author = {D. V. Tunitsky},
     title = {On solvability of semilinear second-order elliptic equations on closed manifolds},
     journal = {Izvestiya. Mathematics },
     pages = {925--942},
     publisher = {mathdoc},
     volume = {86},
     number = {5},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2022_86_5_a5/}
}
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D. V. Tunitsky. On solvability of semilinear second-order elliptic equations on closed manifolds. Izvestiya. Mathematics , Tome 86 (2022) no. 5, pp. 925-942. http://geodesic.mathdoc.fr/item/IM2_2022_86_5_a5/