Abstract.
In this paper, we consider a nonlinear elliptic problem involving the p-Laplacian with perturbation terms in the whole \(\mathbb {R}^N\). Via variational arguments, we obtain existence and regularity of nontrivial solutions.
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The research of the first and second authors is supported by grant num, #28/12 from the Al-Imam University, Riyadh, KSA.
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Khalil, A.E., Manouni, S.E. & Ouanan, M. On some nonlinear elliptic problems for p–Laplacian in \(\mathbb {R}^N\) . Nonlinear differ. equ. appl. 15, 295–308 (2008). https://doi.org/10.1007/s00030-008-7027-y
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DOI: https://doi.org/10.1007/s00030-008-7027-y