Fractional problems with critical nonlinearities by a sublinear perturbation

DOI10.1515/FCA-2020-0023zbMath1448.35195OpenAlexW3029721780MaRDI QIDQ2197308

Lin Li, Stepan Agop Tersian

Publication date: 31 August 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2020-0023

zbMATH Keywords

variational methodscritical growthfractional Laplacian

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

Related Items (4)

A critical elliptic problem involving exponential and singular nonlinearities ⋮ Degenerate Kirchhoff \((p, q)\)-fractional systems with critical nonlinearities ⋮ Infinitely many large energy solutions for the Schrödinger-Poisson system with concave and convex nonlinearities ⋮ Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth

Cites Work

• Unnamed Item
• Unnamed Item
• A critical point theorem via the Ekeland variational principle
• On some critical problems for the fractional Laplacian operator
• Hitchhiker's guide to the fractional Sobolev spaces
• Perturbations of a critical fractional equation
• A critical fractional equation with concave-convex power nonlinearities
• A critical fractional Laplace equation in the resonant case
• Mountain pass solutions for non-local elliptic operators
• Ground state solutions of scalar field fractional Schrödinger equations
• Infinitely many sign-changing solutions for the Brézis-Nirenberg problem involving the fractional Laplacian
• Nonexistence results for a class of fractional elliptic boundary value problems
• Best constants for Sobolev inequalities for higher order fractional derivatives
• Minimax theorems
• A Brezis-Nirenberg result for non-local critical equations in low dimension
• Dual variational methods in critical point theory and applications
• Infinitely many sign-changing solutions for Kirchhoff type problems in \(\mathbb{R}^3\)
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Variational Methods for Nonlocal Fractional Problems
• The Structure of the Critical Set in the Mountain Pass Theorem
• A local minimum theorem and critical nonlinearities
• Nonlinear fractional equations with supercritical growth

This page was built for publication: Fractional problems with critical nonlinearities by a sublinear perturbation