Maximum principles involving the uniformly elliptic nonlocal operator
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Publication:6182944
DOI10.1002/mma.8718zbMath1529.35162MaRDI QIDQ6182944
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Publication date: 22 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06)
Cites Work
- Unnamed Item
- A Liouville theorem for \(\alpha\)-harmonic functions in \(\mathbb{R}^n_+\)
- A direct method of moving planes for the fractional Laplacian
- Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions
- Regularity results for nonlocal equations by approximation
- Liouville theorems and gradient estimates for a nonlinear elliptic equation
- One-dimensional symmetry of bounded entire solutions of some elliptic equations
- Maximum principles for the fractional p-Laplacian and symmetry of solutions
- On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results
- Qualitative properties of solutions for an integral equation
- The sliding method for the nonlocal Monge-Ampère operator
- Getting acquainted with the fractional Laplacian
- Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space
- Sliding method for the semi-linear elliptic equations involving the uniformly elliptic nonlocal operators
- Liouville theorem involving the uniformly nonlocal operator
- Direct methods for pseudo-relativistic Schrödinger operators
- The Bernstein technique for integro-differential equations
- Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains
- Non-negative solutions to fractional Laplace equations with isolated singularity
- Maximum principles and monotonicity of solutions for fractional \(p\)-equations in unbounded domains
- The sliding methods for the fractional \(p\)-Laplacian
- Symmetry and monotonicity of solutions for the fully nonlinear nonlocal equation
- Positive solutions for a weighted fractional system
- Some Liouville theorems for the fractional Laplacian
- Liouville theorems involving the fractional Laplacian on a half space
- A direct method of moving spheres on fractional order equations
- Stochastic model for ultraslow diffusion
- Indefinite fractional elliptic problem and Liouville theorems
- A direct blowing-up and rescaling argument on nonlocal elliptic equations
- Positive solutions to semilinear elliptic equations involving a weighted fractional Lapalacian
- Regularity theory for fully nonlinear integro-differential equations
- A Hopf type lemma for fractional equations
- Existence and non-existence results for semilinear elliptic problems in unbounded domains
- Financial Modelling with Jump Processes
- An Extension Problem Related to the Fractional Laplacian
- Classification of solutions for an integral equation