Geodesic
Positive Solutions to Weakly Nonlinear Elliptic Equations of Second Order on Cylindrical Domains
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 250 (2005), pp. 183-191.

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Solutions to second-order semilinear elliptic equations in cylindrical domains are studied. Conditions for the existence and nonexistence of positive solutions satisfying the zero Dirichlet or Neumann boundary conditions on the lateral surface are obtained. 
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V. A. Kondrat'ev. Positive Solutions to Weakly Nonlinear Elliptic Equations of Second Order on Cylindrical Domains. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 250 (2005), pp. 183-191. http://geodesic.mathdoc.fr/item/TM_2005_250_a7/

[1] Mitidieri E., Pokhozhaev S. I., Apriornye otsenki i otsutstvie reshenii nelineinykh uravnenii i neravenstv v chastnykh proizvodnykh, Tp. MIAN, 234, Nauka, M., 2001 | MR | Zbl

[2] Kondrat'ev V. A., “On the existence of positive solutions of second-order semilinear elliptic equations in cylindrical domains”, Russ. J. Math. Phys., 10:1 (2003), 11–20 | MR

[3] Gilbarg D., Trudinger N. S., Elliptic partial differential equations of second order, 2nd ed., Springer, Berlin, 1983 ; Gilbarg D., Trudinger N., Ellipticheskie differentsialnye uravneniya s chastnymi proizvodnymi vtorogo poryadka, Nauka, M., 1989 | MR | Zbl | MR | Zbl

[4] Littman W., Stampacchia G., Weinberger H. F., “Regular points for elliptic equations with discontinuous coefficients”, Ann. Scuola Norm. Super. Pisa. Sci. Fis. e Mat. Ser. 3, 17 (1963), 43–77 | MR | Zbl