Shakhmurov,V.B.2024-05-252024-05-25201651609-332110.17323/1609-4514-2016-16-2-299-3212-s2.0-84962032923https://doi.org/10.17323/1609-4514-2016-16-2-299-321https://hdl.handle.net/20.500.14517/2350The nonlocal boundary value problems for degenerate differential-operator equations with variable coefficients are studied. The Lp separability properties of elliptic problems and well-posedeness of parabolic problems in mixed Lp spaces are derived. Then by using the regularity properties of linear problems, the existence and uniqueness of solution of nonlinear elliptic problem is obtained. Note that applications of these problems can be models of different physics process. © 2016 Independent University of Moscow.eninfo:eu-repo/semantics/closedAccessAbstract harmonic analysisDegenerate PDEDifferential-operator equationsSemigroups of operatorsSeparable differential operatorsSobolev-lions spacesArticleQ3Q2162299321