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We establish Ambrosetti–Prodi type results for viscosity and classical solutions of nonlinear Dirichlet problems for fractional Laplace and comparable operators. In the choice of nonlinearities we consider semi-linear and super-linear… Click to show full abstract
We establish Ambrosetti–Prodi type results for viscosity and classical solutions of nonlinear Dirichlet problems for fractional Laplace and comparable operators. In the choice of nonlinearities we consider semi-linear and super-linear growth cases separately. We develop a new technique using a functional integration-based approach, which is more robust in the non-local context than a purely analytic treatment.
Keywords:
ambrosetti prodi;
prodi type;
problems fractional;
results dirichlet;
type results;
dirichlet problems
Journal Title: Integral Equations and Operator Theory
Year Published: 2018
Link to full text (if available)
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Journal Title: Integral Equations and Operator Theory
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!