Existence and multiplicity of solutions for the nonlocal p(x)-Laplacian equations in $R^N$
This work deals with the nonlocal $p(x)$-Laplacian equations in $R^{N}$ with non-variational form \begin{align*} \left\{\begin{aligned} &A(u)\big(-\Delta_{p(x)}u+|u|^{p(x)-2}u\big)=B(u)f(x,u) \text{in}R^{N},\\ &u\in W^{1, p(x)}(R^{N}), \end{aligned} \right.\end{align*} and with the variation...
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| Format: | Article |
| Language: | English |
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University of Szeged
2012-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1789 |