Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights

DOI10.1016/j.na.2020.111779zbMath1437.35687arXiv1911.03546OpenAlexW3005035002WikidataQ115568772 ScholiaQ115568772MaRDI QIDQ1988397

Jacques Giacomoni, Tuhina Mukherjee, Konijeti Sreenadh, Rakesh Arora

Publication date: 23 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.03546

zbMATH Keywords

Nehari manifoldpolyharmonic operatorChoquard non-linearity with singular weightsdoubly non local equationKirchhoff termsingular Adams-Moser inequality

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Partial functional-differential equations (35R10) Variational methods for higher-order elliptic equations (35J35) Integro-partial differential equations (35R09)

Related Items (8)

Nontrivial solutions for the polyharmonic problem: existence, multiplicity and uniqueness ⋮ Normalized solutions for Schrödinger equations with Stein-Weiss potential of critical exponential growth ⋮ Polyharmonic Kirchhoff-type problem without Ambrosetti–Rabinowitz condition ⋮ Fractional Choquard logarithmic equations with Stein-Weiss potential ⋮ Existence of ground state solutions for a Choquard double phase problem ⋮ Quasilinear Schrödinger equations with Stein-Weiss type convolution and critical exponential nonlinearity in \(\mathbb{R}^N\) ⋮ Existence of solutions for fractional-Choquard equation with a critical exponential growth in \(\mathbb{R}^N\) ⋮ Nonlinear Choquard equations with Hardy-Littlewood-Sobolev critical exponents

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