A study of nonlinear elliptic problems involving supercritical and exponential growth in \(\mathbb{R}^N\). (English) Zbl 1387.35281
Summary: In this paper, we consider the multiplicity of solutions of the \(p\)-Laplacian problems involving supercritical Sobolev growth and exponential growth in \(\mathbb{R}^N\) via Ricceri principle. By means of the truncation combining with Moser iteration, we can extend the result about the subcritical growth to the supercritical and exponential growth.
MSC:
| 35J62 | Quasilinear elliptic equations |
| 35J70 | Degenerate elliptic equations |
| 35B45 | A priori estimates in context of PDEs |
References:
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