Geodesic
Integral representation of a~solution to three-dimensional elliptic equation with strong degeneration
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 73-79

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In a three-dimentional Euclidean space we consider an elliptic equation with strong degeneration. We derive the first and the second Green formula. We also construct a fundamental solution to the equation and obtain an integral representation of its solution.
Keywords: degenerate elliptic equations, fundamental solution, integral representation of the solution. 
@article{IVM_2015_11_a6,
     author = {G. Z. Khabibullina and S. V. Makletsov and R. M. Mavlyaviev},
     title = {Integral representation of a~solution to three-dimensional elliptic equation with strong degeneration},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {73--79},
     publisher = {mathdoc},
     number = {11},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_11_a6/}
}
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G. Z. Khabibullina; S. V. Makletsov; R. M. Mavlyaviev. Integral representation of a~solution to three-dimensional elliptic equation with strong degeneration. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 73-79. http://geodesic.mathdoc.fr/item/IVM_2015_11_a6/