Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition

Abstract

We consider a fractional double phase Robin problem involving variable order and variable exponents. The nonlinearity $f$ is a Carathéodory function satisfying some hypotheses which do not include the Ambrosetti-Rabinowitz type condition. By using Variational methods, we investigate the multiplicity of solutions.

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References in corpus (4)

• Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
• Existence and multiplicity of solutions for double-phase Robin problems
• Multiple solutions of double phase variational problems with variable exponent
• Robin fractional problems with symmetric variable growth

Cited by in corpus (1)

• Fractional double phase Robin problem involving variable order-exponents and Logarithm-type nonlinearity