We introduce a variational framework for a second order difference equation on Z driven by the discrete p-Laplacian and involving a coercive weight function and a positive parameter λ. By means of critical point theory, we prove the existence of at least two nontrivial homoclinic solutions for λ big enough.
Multiple homoclinic solutions for the discrete p-Laplacian via critical point theory
IANNIZZOTTO, ANTONIO;
2013-01-01
Abstract
We introduce a variational framework for a second order difference equation on Z driven by the discrete p-Laplacian and involving a coercive weight function and a positive parameter λ. By means of critical point theory, we prove the existence of at least two nontrivial homoclinic solutions for λ big enough.
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