Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators

DOI10.1016/j.na.2017.04.005zbMath1371.35079OpenAlexW2612856463MaRDI QIDQ2363303

Patrizia Pucci, Sara Saldi, Alessio Fiscella

Publication date: 13 July 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2017.04.005

zbMATH Keywords

existence of entire solutionsfractional \(p\)-Laplacian operatorSchrödinger-Hardy systems

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Integro-differential operators (47G20) Second-order elliptic systems (35J47) Fractional partial differential equations (35R11)

Related Items (32)

Ground state solutions for critical Schrödinger equations with Hardy potential ⋮ Solutions for nonhomogeneous fractional \((p, q)\)-Laplacian systems with critical nonlinearities ⋮ Existence results for a Kirchhoff-type equation involving fractional \(p(x)\)-Laplacian ⋮ Sign-changing solutions for a class of zero mass nonlocal Schrödinger equations ⋮ Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group ⋮ Schrödinger-Kirchhoff-Hardy \(p \)-fractional equations without the Ambrosetti-Rabinowitz condition ⋮ \(p\)-fractional Hardy-Schrödinger-Kirchhoff systems with critical nonlinearities ⋮ A system of equations involving the fractional \(p\)-Laplacian and doubly critical nonlinearities ⋮ A unique weak solution for a kind of coupled system of fractional Schrödinger equations ⋮ Spike solutions for a fractional elliptic equation in a compact Riemannian manifold ⋮ The Brezis–Nirenberg problem for fractional systems with Hardy potentials ⋮ On a nonlocal elliptic system of Hardy‐Kirchhoff type with critical exponents ⋮ Degenerate Kirchhoff \((p, q)\)-fractional systems with critical nonlinearities ⋮ On existence solution for Schrödinger–Kirchhoff-type equations involving the fractional p-Laplacian in ℝ^N ⋮ Existence and multiplicity of solutions for Hardy nonlocal fractional elliptic equations involving critical nonlinearities ⋮ Critical Schrödinger-Hardy systems in the Heisenberg group ⋮ Fractional elliptic systems with critical nonlinearities ⋮ Existence of nonnegative solutions for a class of systems involving fractional \((p,q)\)-Laplacian operators ⋮ Unnamed Item ⋮ Existence and asymptotic behavior of ground states for Schrödinger systems with Hardy potential ⋮ On multiplicity solutions for a non-local fractional p-Laplace equation ⋮ Fractional \(p\)-Laplacian problems with Hardy terms and critical exponents ⋮ Existence and multiplicity of solutions for a class of fractional elliptic systems ⋮ Existence of solutions for a class of fractional elliptic problems on exterior domains ⋮ Superlinear elliptic equations with variable exponent via perturbation method ⋮ Non-Nehari manifold method for Hamiltonian elliptic system with Hardy potential: existence and asymptotic properties of ground state solution ⋮ Existence of solutions for Schrödinger–Kirchhoff systems involving the fractional $p$-Laplacian in $\mathbb R^N$ ⋮ Unnamed Item ⋮ Existence of positive solutions for Hardy nonlocal fractional elliptic equations involving critical nonlinearities ⋮ Existence of entire solutions for critical Sobolev–Hardy problems involving magnetic fractional operator ⋮ Infinitely many solutions for fractional elliptic systems involving critical nonlinearities and Hardy potentials ⋮ Solvability for boundary value problem of the general Schrödinger equation with general superlinear nonlinearity

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