Nonlocal problems with critical Hardy nonlinearity
Copyright policy )Nonlocal problems with critical Hardy nonlinearity
By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth.
36 pages, revised version
- University of Catania Italy
- Catholic University of the Sacred Heart Italy
- Southeast University China (People's Republic of)
critical exponent, Fractional p-Laplacian problems; Critical exponents; Sobolev-Hardy inequality, Nonlinear elliptic equations, Fractional partial differential equations, Critical exponents in context of PDEs, Hardy nonlinearity, Sobolev-Hardy inequality, Variational methods applied to PDEs, Mathematics - Analysis of PDEs, fractional \(p\)-Laplacian, FOS: Mathematics, 35J20, 35J60, 47G20, Analysis of PDEs (math.AP)
critical exponent, Fractional p-Laplacian problems; Critical exponents; Sobolev-Hardy inequality, Nonlinear elliptic equations, Fractional partial differential equations, Critical exponents in context of PDEs, Hardy nonlinearity, Sobolev-Hardy inequality, Variational methods applied to PDEs, Mathematics - Analysis of PDEs, fractional \(p\)-Laplacian, FOS: Mathematics, 35J20, 35J60, 47G20, Analysis of PDEs (math.AP)
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