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We consider a nonlinear Robin problem driven by the p -Laplacian plus an indefinite potential. The reaction term is of arbitrary growth and only conditions near zero are imposed. Using… Click to show full abstract
We consider a nonlinear Robin problem driven by the p -Laplacian plus an indefinite potential. The reaction term is of arbitrary growth and only conditions near zero are imposed. Using critical point theory together with suitable truncation and perturbation techniques and comparison principles, we show that the problem admits a sequence of distinct smooth nodal solutions converging to zero in \begin{document} $C^1(\overline{Ω})$ \end{document} .
Keywords:
plus indefinite;
laplacian plus;
nodal solutions;
reaction term;
indefinite potential
Journal Title: Communications on Pure and Applied Analysis
Year Published: 2017
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Journal Title: Communications on Pure and Applied Analysis
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!