Notes on aplications of the dual fountain theorem to local and nonlocal elliptic equations with variable exponent
Copyright policy )Notes on aplications of the dual fountain theorem to local and nonlocal elliptic equations with variable exponent
Summary: Using the Dual Fountain Theorem we obtain some existence of infinitely many solutions for local and nonlocal elliptic equations with variable exponent. Our results correct some of the errors that have appeared recently in the literature.
T57-57.97, Applied mathematics. Quantitative methods, Variational methods applied to PDEs, infinitely many solutions, fractional \(p(\cdot)\)-laplacian, fractional \(p(\cdot)\)-Laplacian, Existence problems for PDEs: global existence, local existence, non-existence, \(p(\cdot)\)-Laplacian, dual fountain theorem, \(p(\cdot)\)-laplacian, Quasilinear elliptic equations with \(p\)-Laplacian, Fractional partial differential equations, existence of infinitely many solutions
T57-57.97, Applied mathematics. Quantitative methods, Variational methods applied to PDEs, infinitely many solutions, fractional \(p(\cdot)\)-laplacian, fractional \(p(\cdot)\)-Laplacian, Existence problems for PDEs: global existence, local existence, non-existence, \(p(\cdot)\)-Laplacian, dual fountain theorem, \(p(\cdot)\)-laplacian, Quasilinear elliptic equations with \(p\)-Laplacian, Fractional partial differential equations, existence of infinitely many solutions
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