Existence of a positive solution for a class of non-local elliptic problem with critical growth in \(\mathbb{R}^N\)

DOI10.1007/s00009-022-02012-7zbMath1485.35218OpenAlexW4213274821MaRDI QIDQ2113575

L. C. Paes-Leme, Bruno Mendes Rodrigues

Publication date: 14 March 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02012-7

zbMATH Keywords

variational methodsnon-local elliptic equationexistence of a positive solution

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• Some non-local problems with nonlinear diffusion
• On ground state solutions for a Kirchhoff type equation with critical growth
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• On positive solutions of nonlocal and nonvariational elliptic problems
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Infinitely many solutions forp-Kirchhoff equation with concave-convex nonlinearities in RN
• On a class of nonlocal elliptic problems with critical growth
• Some remarks on non local elliptic and parabolic problems
• The existence of multiple positive solutions for a class of non-local elliptic problem in RN
• Existence and multiplicity of solutions for an indefinite Kirchhoff-type equation in bounded domains

This page was built for publication: Existence of a positive solution for a class of non-local elliptic problem with critical growth in \(\mathbb{R}^N\)