In this work, we consider the following p(x)-Laplacian equation in where f, V and p(x) are periodic in . Under some appropriate assumptions, we prove the existence of the ground… Click to show full abstract
In this work, we consider the following p(x)-Laplacian equation in where f, V and p(x) are periodic in . Under some appropriate assumptions, we prove the existence of the ground state solutions via the generalized Nehari method due to Szulkin and Weth. Moreover, if f is odd in u, infinitely many pairs of geometrically distinct solutions are given. To the best of our knowledge, our results are new even in the constant exponent case.
               
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