## $$p(x)$$-Laplacian equations in $$\mathbb R^N$$ with periodic data and nonperiodic perturbations.(English)Zbl 1135.35034

Summary: We consider the $$p(x)$$-Laplacian equations in $$\mathbb R^N$$ with periodic data and nonperiodic perturbations being stationary at infinity, where the perturbations are done not only for the coefficients but also for the exponents. Using concentration-compactness principle, under appropriate assumptions, we prove the existence of ground state solutions vanishing at infinity for the equations.

### MSC:

 35J60 Nonlinear elliptic equations 35B20 Perturbations in context of PDEs 35D05 Existence of generalized solutions of PDE (MSC2000)
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### References:

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