Classification of nonnegative solutions to static Schrödinger-Hartree and Schrödinger-Maxwell Equations with combined nonlinearities

DOI10.1007/s00526-019-1595-zzbMath1416.35290arXiv1811.07191OpenAlexW2900596635MaRDI QIDQ2316629

Yanyan Li

Publication date: 6 August 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.07191

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (24)

Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system ⋮ Classification of nonnegative solutions to static Schrödinger-Hartree-Maxwell system involving the fractional Laplacian ⋮ On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents ⋮ Classification of nonnegative solutions to fractional Schrödinger-Hatree-Maxwell type system ⋮ Integrability of solutions for the integral system ⋮ Monotonicity and symmetry of positive solutions to fractional p-Laplacian equation ⋮ Overdetermined problems for negative power integral equations on bounded domain ⋮ Classification of Solutions to Conformally Invariant Systems with Mixed Order and Exponentially Increasing or Nonlocal Nonlinearity ⋮ Liouville type theorems for poly-harmonic Dirichlet problems of Hénon-Hardy type equations on a half space or a ball ⋮ Sharp reversed Hardy–Littlewood–Sobolev inequality with extension kernel ⋮ Classification of positive solutions for an integral system on the half space ⋮ Maximum principles and monotonicity of solutions for fractional \(p\)-equations in unbounded domains ⋮ Liouville theorems for nonnegative solutions to static weighted Schrödinger-Hartree-Maxwell type equations with combined nonlinearities ⋮ SYMMETRY AND MONOTONICITY OF SOLUTIONS TO FRACTIONAL ELLIPTIC AND PARABOLIC EQUATIONS ⋮ Classification of nonnegative solutions to an equation involving the Laplacian of arbitrary order ⋮ Liouville type theorems for fractional and higher-order fractional systems ⋮ Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations ⋮ Direct methods for pseudo-relativistic Schrödinger operators ⋮ Symmetric properties for Choquard equations involving fully nonlinear nonlocal operators ⋮ A direct method of moving planes for fully nonlinear nonlocal operators and applications ⋮ Classification of solutions for an integral system with negative exponents on half space ⋮ Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations ⋮ Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝⁿ ⋮ Classification of nonnegative solutions to Schrödinger equation with logarithmic nonlinearity

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