Fractional p-Laplacian Equations with Subcritical and Critical Exponential Growth Without the Ambrosetti–Rabinowitz Condition
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DOI: 10.1007/s00009-018-1115-y
Abstract: The main purpose of this paper is to investigate the existence of nontrivial solutions to a class of quasilinear non-local problems which do not satisfy the Ambrosetti–Rabinowitz (AR) condition where the nonlinear terms are superlinear… read more here.
Keywords: subcritical critical; ambrosetti rabinowitz; critical exponential; rabinowitz condition ... See more keywords
Existence and multiplicity of solutions for Dirichlet problem of p(x)-Laplacian type without the Ambrosetti-Rabinowitz condition
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DOI: 10.1016/j.jmaa.2020.123882
Abstract: Abstract This paper deals with the following variational problem with variable exponents { − div ( ( 1 + | ∇ u | p ( x ) 1 + | ∇ u | 2 p… read more here.
Keywords: multiplicity solutions; existence multiplicity; ambrosetti rabinowitz; condition ... See more keywords
Fractional Kirchhoff-type problems with exponential growth without the Ambrosetti–Rabinowitz condition
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DOI: 10.1515/ijnsns-2019-0171
Abstract: Abstract The main aim of this paper is to investigate the existence of nontrivial solutions for a class of fractional Kirchhoff-type problems with right-hand side nonlinearity which is subcritical or critical exponential growth (subcritical polynomial… read more here.
Keywords: kirchhoff type; growth; exponential growth; ambrosetti rabinowitz ... See more keywords