Existence and multiplicity of solutions for the fractional p-Laplacian Choquard logarithmic equation involving a nonlinearity with exponential critical and subcritical growth
From MaRDI portal
Publication:4990995
DOI10.1063/5.0041474zbMath1465.35391arXiv2012.12731OpenAlexW3116592398WikidataQ115553596 ScholiaQ115553596MaRDI QIDQ4990995
Eduardo De S. Böer, Olímpio Hiroshi Miyagaki
Publication date: 2 June 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.12731
Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (8)
Elliptic problem driven by different types of nonlinearities ⋮ Schrödinger-Poisson system with zero mass in \(\mathbb{R}^2\) involving \((2, q)\)-Laplacian: existence, asymptotic behavior and regularity of solutions ⋮ Nonlocal planar Schrödinger-Poisson systems in the fractional Sobolev limiting case ⋮ Existence and concentration of solutions to a Choquard equation involving fractional \(p\)-Laplace via penalization method ⋮ Fractional Choquard logarithmic equations with Stein-Weiss potential ⋮ One‐dimensional periodic fractional Schrödinger equations with exponential critical growth ⋮ Existence and multiplicity results for a class of Kirchhoff-Choquard equations with a generalized sign-changing potential ⋮ On a quasilinear logarithmic \(N\)-dimensional equation involving exponential growth
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
- Soliton dynamics for the generalized Choquard equation
- Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
- The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate
- Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
- Existence and symmetry result for fractional \(p\)-Laplacian in \(\mathbb{R}^{n}\)
- Nonautonomous fractional problems with exponential growth
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- On the planar Schrödinger-Poisson system
- A nonhomogeneous elliptic problem involving critical growth in dimension two
- Functional analysis, Sobolev spaces and partial differential equations
- Existence of solutions to the logarithmic Choquard equations in high dimensions
- Symmetry of positive solutions for Choquard equations with fractional \(p\)-Laplacian
- Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
- Three nodal solutions of singularly perturbed elliptic equations on domains without topology
- Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- The existence of a nontrivial solution to a nonlinear elliptic problem of linking type without the Ambrosetti-Rabinowitz condition
- Weyl-type laws for fractional p-eigenvalue problems
- Variational Methods for Nonlocal Fractional Problems
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Existence of positive solution for a planar Schrödinger-Poisson system with exponential growth
- Fractional p‐Laplacian problem with indefinite weight in RN: Eigenvalues and existence
- Ground state solutions to logarithmic Choquard equations in R3
- Stationary Waves with Prescribed $L^2$-Norm for the Planar Schrödinger--Poisson System
- Ground states and high energy solutions of the planar Schrödinger–Poisson system
- Multiple solutions for a class of fractional quasi-linear equations with critical exponential growth in ℝN
This page was built for publication: Existence and multiplicity of solutions for the fractional p-Laplacian Choquard logarithmic equation involving a nonlinearity with exponential critical and subcritical growth
