On the existence of two solutions for a general class of jumping problems

Alessandro Groli, Marco Squassina

DOI: http://dx.doi.org/10.12775/TMNA.2003.020

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.

Keywords


Jumping problems; quasilinear problems; critical point theory

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