Superlinear Equations Involving Nonlinearities Limited by Asymptotically Homogeneous Functions
Journal of Inequalities and Applications volume 2007, Article number: 058363 (2007)
We obtain a solution of the quasilinear equation in,, on. Here the nonlinearity is superlinear at zero, and it is located near infinity between two functions that belong to a class of functions where the Ambrosetti-Rabinowitz condition is satisfied. More precisely, we consider the class of functions that are asymptotically homogeneous of index.
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Lorca, S., Souto, M.A. & Ubilla, P. Superlinear Equations Involving Nonlinearities Limited by Asymptotically Homogeneous Functions. J Inequal Appl 2007, 058363 (2007). https://doi.org/10.1155/2007/58363