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In this paper, we investigate the existence of infinitely many solutions to a fractional p-Kirchhoff-type problem satisfying superlinearity with homogeneous Dirichlet boundary conditions as follows: {[a + b(∫ R2N |u(x) − u(y)|pK(x − y)dxdy)]Lspu − λ|u|p−2u = g(x, u), in Ω, u = 0, in R \ Ω, } whereLsp is a nonlocal integrodifferential operator with a singular kernelK. We only consider the non-Ambrosetti-Rabinowitz condition to prove our results by using the symmetric mountain pass theorem.

advances in mathematical physics

Infinitely Many Solutions for a Superlinear Fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:math>-Kirchhoff-Type Problem without the (AR) Condition

Infinitely Many Solutions for a Superlinear Fractional p-Kirchhoff-Type Problem without the (AR) Condition