Abstract
Via nonsmooth critical point theory we prove the existence of at least two solutions in $W^{1,p}_0(\Omega)$ for a jumping problem involving the Euler equation of multiple integrals of calculus of variations under natural growth conditions. Some new difficulties arise in comparison with the study of the semilinear and also the quasilinear case.
Citation
Alessandro Groli. Marco Squassina. "On the existence of two solutions for a general class of jumping problems." Topol. Methods Nonlinear Anal. 21 (2) 325 - 344, 2003.
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