p-Laplacian Equations in ℝN with Finite Potential via the Truncation Method
We consider the problem -Δpu+a(x)|u|p-2u=|u|q-2u{-\Delta_{p}u+a(x)\lvert u\rvert^{p-2}u=\lvert u\rvert^{q-2}u} in ℝN{\mathbb{R}^{N}}, where 1<p<N{1<p<N}, p<q<p*=NpN-p{p<q<p^{*}=\frac{Np}{N-p}}, Δp{\Delta_{p}} is the p-Laplacian operator, and the potential function a is...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2017-07-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2015-5059 |