scientific article; zbMATH DE number 7532322

zbMath1491.35174MaRDI QIDQ5079292

Giovany M. Figueiredo, Leticia S. Silva

Publication date: 25 May 2022

Full work available at URL: https://pjm.ppu.edu/sites/default/files/papers/PJM_June_2021_502_to_532.pdf

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zbMATH Keywords

existenceBrouwer degreeconcentration-compactness principlecritical semilinear system

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Related Items (4)

Positive solution for a class of \(p\)-Laplacian systems with critical homogeneous nonlinearity ⋮ Unnamed Item ⋮ The effect of the domain topology on the number of positive solutions for an elliptic system ⋮ Existence of positive solution for a critical system in \((\mathbb{R}^N_+)\)

Cites Work

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• Best constant in Sobolev inequality
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• Construction of solutions via local Pohozaev identities
• Existence of positive solution of the equation \((-\Delta )^{s}u+a(x)u=|u|^{2^{*}_{s}-2}u\)
• Existence of positive solutions for a problem with lack of compactness involving the \(p\)-Laplacian
• Minimax theorems
• Systems of_p-laplacean equations involving homogeneous nonlinearities with critical sobolev exponent degrees
• Nonminimizing Positive Solutions for Equations with Critical Exponents in the Half-Space
• Positive solutions of a fourth-order semilinear problem involving critical growth
• Multiple positive bound states for critical Schrödinger-Poisson systems
• Existence of solutions for critical Choquard equations via the concentration-compactness method

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