Superlinear Equations Involving Nonlinearities Limited by Asymptotically Homogeneous Functions
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We obtain a solution of the quasilinear equation Open image in new window in Open image in new window , Open image in new window , on Open image in new window . Here the nonlinearity Open image in new window 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 Open image in new window .
KeywordsHomogeneous Function Quasilinear Equation Nonlinearity Limited Asymptotically Homogeneous Equation Involve
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