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1. Multiplicity of solutions for a class of fractional ▫$p(x, \cdot)$▫-Kirchhoff-type problems without the Ambrosetti-Rabinowitz condition Mohamed Karim Hamdani, Jiabin Zuo, Nguyen Thanh Chung, Dušan Repovš, 2020, original scientific article Keywords: fractional ▫$p(x,\cdot)$▫-Kirchhoff-type problems, ▫$p(x,\cdot)$▫-fractional Laplace operator, Ambrosetti-Rabinowitz type conditions, symmetric mountain pass theorem, Cerami compactness condition, fractional Sobolev spaces with variable exponent, multiplicity of solutions |
2. Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents Jiabin Zuo, Debajyoti Choudhuri, Dušan Repovš, 2022, original scientific article Keywords: Choquard type, variable-order fractional operator, mixed operator, variable singular exponent, discontinuous power nonlinearity |