Least energy solutions exist for p-Laplacian critical problems with mixed boundary conditions, with boundary geometry dominating the potential when p>2 and the potential dominating when p<2.
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The role of the mean curvature in nonlinear p-Laplacian problems with critical exponent
Least energy solutions exist for p-Laplacian critical problems with mixed boundary conditions, with boundary geometry dominating the potential when p>2 and the potential dominating when p<2.