Complex Variables and Elliptic Equations · 2012 · 42 citations · 22 references
Natural SciencesMathematicsDifferential EquationsBoundary-value ProblemsPartial Differential EquationsWeak Solutions
Using the mountain pass theorem combined with the minimum principle, we obtain at least two non-negative, non-trivial weak solutions for a class of p(x)-Kirchhoff-type equations.
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Stéphane Crépey, Olivier Guéant, David Hobson et al. · HAL (Le Centre pour la Communication Scientifique Directe) · 2011 · 10.2K citations
On spaces $L^{p(x)}$ and $W^{k, p(x)}$
Ondrej Kováčik, Jiří Rákosník · Czechoslovak Mathematical Journal · 1991 · 1.6K citations · Full text
On the Spaces Lp(x)(Ω) and Wm,p(x)(Ω)
Xianling Fan, Dun Zhao · Journal of Mathematical Analysis and Applications · 2001 · 1.6K citations · Full text