Geodesic
Solutions to nonlinear elliptic equations with a nonlocal boundary condition
Electronic journal of differential equations, Tome 2002 (2002)
We study an elliptic equation and its evolution problem on a bounded domain with nonlocal boundary conditions. Eigenvalue problems, existence, and dynamic behavior of solutions for linear and semilinear equations are investigated. We use the comparison principle and a semigroup approach.
Classification : 35Q53, 42B35, 37K10, 35K55, 35K57
Keywords: nonlocal boundary condition, eigenvalue, comparison principle, semigroup 
@article{EJDE_2002__2002__a177,
     author = {Wang,  Yuandi},
     title = {Solutions to nonlinear elliptic equations with a nonlocal boundary condition},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1002.35032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a177/}
}
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%J Electronic journal of differential equations
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Wang,  Yuandi. Solutions to nonlinear elliptic equations with a nonlocal boundary condition. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a177/