Singular Hamiltonian elliptic systems with critical exponential growth in dimension two

DOI10.1002/mana.201700215zbMath1412.35102OpenAlexW2888660717WikidataQ115612431 ScholiaQ115612431MaRDI QIDQ4628345

Yony R. Santaria Leuyacc, Sérgio H. M. Soares

Publication date: 20 March 2019

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201700215

zbMATH Keywords

critical esponential growthsingular Hamiltonian elliptic systemsTrudinger-Moser inequalities in Lorentz-Sobolev spaces

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47) Singular elliptic equations (35J75)

Related Items (3)

Nonlinear Schrödinger equations involving exponential critical growth with unbounded or vanishing potentials ⋮ A class of Schrödinger elliptic equations involving supercritical exponential growth ⋮ On a Hamiltonian system with critical exponential growth

Cites Work

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• Hamiltonian elliptic systems in \(\mathbb R^2\) with subcritical and critical exponential growth
• Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces
• Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space
• Existence of solitary waves for supercritical Schrödinger systems in dimension two
• A nonhomogeneous elliptic problem involving critical growth in dimension two
• On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
• Moser-type inequalities in Lorentz spaces
• On a singular Hamiltonian elliptic systems involving critical growth in dimension two
• Hamiltonian elliptic systems: a guide to variational frameworks
• Differential systems with strongly indefinite variational structure
• An Orlicz-space approach to superlinear elliptic systems
• On L(p,q) spaces
• A singular Moser-Trudinger embedding and its applications
• Uniform convexity in function spaces
• On a class of Hamiltonian elliptic systems involving unbounded or decaying potentials in dimension two
• A Moser-type inequality in Lorentz–Sobolev spaces for unbounded domains in RN
• Phenomena of critical exponent in ℝ²
• Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
• A rellich type identity and applications
• On Superquadratic Elliptic Systems
• Hamiltonian elliptic systems in dimension two with potentials which can vanish at infinity
• Critical and subcritical elliptic systems in dimension two

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