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Generalized boundary value problems for nonlinear elliptic equations. (English) Zbl 0962.35056

Summary: We give an overview of some recent developments in the study of the description of all positive solutions of \[ -\Delta u+|u|^{q-1}u=0 \] in a domain \(\Omega\) where \(q>1\).

MSC:

35J60 Nonlinear elliptic equations
35J67 Boundary values of solutions to elliptic equations and elliptic systems
35D05 Existence of generalized solutions of PDE (MSC2000)
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