Some uniqueness results in quasilinear subhomogeneous problems
Abstract
We establish uniqueness results for quasilinear elliptic problems through the criterion recently provided in DFMST. We apply it to generalized p-Laplacian subhomogeneous problems that may admit multiple nontrivial nonnegative solutions. Based on a generalized hidden convexity result, we show that uniqueness holds among strongly positive solutions and nonnegative global minimizers. Problems involving nonhomogeneous operators as the so-called (p,r)-Laplacian are also treated.
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