Existence of solutions for perturbed fourth order elliptic equations with variable exponents
Using variational methods, we study the existence and multiplicity of solutions for a class of fourth order elliptic equations of the form $$ \begin{cases} \Delta^2_{p(x)}u-M\left(\int_\Omega\frac{1}{p(x)}|\nabla u|^{p(x)}\,dx\right)\Delta_{p(x)} u = f(x,u) \quad \text{in }\Omega,\\ u=\Delta u = 0 \...
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| Format: | Article |
| Language: | English |
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University of Szeged
2018-12-01
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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=6945 |