Infinitely many positive solutions of fractional boundary value problems
Keywords
Fractional differential equation, oscillatory nonlinearities, infinitely many solutions, variational methodsAbstract
We are concerned with the qualitative analysis of solutions of a class of fractional boundary value problems with Dirichlet boundary conditions. By combining a direct variational approach with the theory of the fractional derivative spaces, we establish the existence of infinitely many distinct positive solutions whose $E^\alpha$-norms and $L^\infty$-norms tend to zero (to infinity, respectively) whenever the nonlinearity oscillates at zero (at infinity, respectively).References
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