Existence and uniqueness theorems for equations of the type $Au(x)=g(x,u,Du)$ with degenerate and nonlinear boundary conditions.
Y. Il'yasov, Th. Runst
The paper is published:
Proc. Conf. 'Function spaces, differential operators and nonlinear analysis', Syöte, 1999 (ed. V. Mustonen & J.Rakosnik), 143-148, Math. Inst. Acad. Sci. Czech Republic, Prague, 2000.
Keywords: degenerate boundary value problems, sub- and supersolutions, a priori estimates, existence and uniqueness results
- 35J65 Nonlinear boundary value problems for linear elliptic PDE; boundary value problems for nonlinear elliptic PDE
- 35B45 A priori estimates
- 35J25 Boundary value problems for second-order, elliptic equations
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