Geodesic
Solutions to nonlinear elliptic equations with a nonlocal boundary condition
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a77,
     author = {Wang, Yuandi},
     title = {Solutions to nonlinear elliptic equations with a nonlocal boundary condition},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a77/}
}
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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__a77/