Geodesic
Asymptotic formulas for solutions of nonlocal elliptic problems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and differential equations, Tome 269 (2010), pp. 225-241

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We consider nonlocal elliptic problems in plane domains and obtain asymptotic formulas for solutions in weighted spaces near junction points. 
@article{TM_2010_269_a18,
     author = {A. L. Skubachevskii},
     title = {Asymptotic formulas for solutions of nonlocal elliptic problems},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {225--241},
     publisher = {mathdoc},
     volume = {269},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2010_269_a18/}
}
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A. L. Skubachevskii. Asymptotic formulas for solutions of nonlocal elliptic problems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and differential equations, Tome 269 (2010), pp. 225-241. http://geodesic.mathdoc.fr/item/TM_2010_269_a18/