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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Hlavní autor: Chao Ji
Médium: Článek
Jazyk:English
Vydáno: University of Szeged 2012-08-01
Edice:Electronic Journal of Qualitative Theory of Differential Equations
Témata:
On-line přístup:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1789