A priori estimates and continuation methods for positive solutions of p-laplace equations

By C. Azizieh, Philippe Clément. 2002

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On sign-changing and multiple solutions of the p-Laplacian (2003, unknown): “1 of [3].”
Multiple positive solutions of singular-Laplacian problems by variational methods (2005, background): “Cl´ement [ 7 ]). Since a0 0 and nontrivial, so is u and hence”
A priori estimates and existence of positive solutions for strongly nonlinear problems (2004, methodology): “As shown in [12], the blow-up method provides a solution in a halfspace when the points xn approach sufficiently fast (in comparison with the L N norm of un) to the boundary of O: In [4], the authors assume that O is convex and that 1omp2; in that case, they use the moving plane method (as developed”