Geodesic
On the Uniqueness Problem for Nonlinear Elliptic and Parabolic Equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 318-327

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The Dirichlet and the Cauchy–Dirichlet problems for second-order nonlinear elliptic and parabolic equations are studied in the case of strongly growing or degenerate leading coefficients. The solvability of the problems and the uniqueness of their solutions are proved, energy estimates and estimates for the maximum of the solutions are established. 
@article{TM_2002_236_a31,
     author = {I. V. Skrypnik and G. Gaevsi},
     title = {On the {Uniqueness} {Problem} for {Nonlinear} {Elliptic} and {Parabolic} {Equations}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {318--327},
     publisher = {mathdoc},
     volume = {236},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2002_236_a31/}
}
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I. V. Skrypnik; G. Gaevsi. On the Uniqueness Problem for Nonlinear Elliptic and Parabolic Equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 318-327. http://geodesic.mathdoc.fr/item/TM_2002_236_a31/