The Positive Solutions for Integral Boundary Value Problem of Fractional p-Laplacian Equation with Mixed Derivatives
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DOI: 10.1007/s00009-017-0895-9
Abstract: In this paper, we consider a class of integral boundary value problems of fractional p-Laplacian equation, which involve both Riemann–Liouville fractional derivative and Caputo fractional derivative. By using the generalization of Leggett–Williams fixed point theorem,… read more here.
Keywords: fractional laplacian; positive solutions; value; integral boundary ... See more keywords
Multiple positive solutions for a class of (2, p)-Laplacian equation
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DOI: 10.1063/1.5050030
Abstract: In this work, we investigate the (2, p)-Laplacian equation −Δu − Δpu = f(x, u) in Ω with the boundary condition u = 0 on ∂Ω, where Ω is a smooth bounded domain in RN,… read more here.
Keywords: solutions class; positive solutions; class laplacian; laplacian equation ... See more keywords
Ground state solutions and multiple solutions for a p(x)-Laplacian equation in with periodic data
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DOI: 10.1080/17476933.2016.1245724
Abstract: In this work, we consider the following p(x)-Laplacian equation in where f, V and p(x) are periodic in . Under some appropriate assumptions, we prove the existence of the ground state solutions via the generalized… read more here.
Keywords: state solutions; ground state; equation periodic; laplacian equation ... See more keywords
Infinitely many solutions via critical points for a fractional p-Laplacian equation with perturbations
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DOI: 10.1186/s13662-019-2113-5
Abstract: AbstractIn this paper, we use variant fountain theorems to study the existence of infinitely many solutions for the fractional p-Laplacian equation (−Δ)pαu+λV(x)|u|p−2u=f(x,u)−μg(x)|u|q−2u,x∈RN,$$ (-\Delta )_{p}^{\alpha }u+\lambda V(x) \vert u \vert ^{p-2}u=f(x,u)-\mu g(x) \vert u \vert ^{q-2}u,\quad… read more here.
Keywords: fractional laplacian; infinitely many; vert; laplacian equation ... See more keywords
Existence, multiplicity and regularity of solutions for the fractional $p$-Laplacian equation
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DOI: 10.4134/jkms.j190693
Abstract: We are concerned with the following elliptic equations: { (−∆)pu = λf(x, u) in Ω, u = 0 on RN\Ω, where λ are real parameters, (−∆)p is the fractional p-Laplacian operator, 0 < s <… read more here.
Keywords: fractional laplacian; solutions fractional; multiplicity regularity; laplacian equation ... See more keywords