Positive solutions of the prescribed mean curvature equation with exponential critical growth

DOI10.1007/s10231-021-01077-7zbMath1472.35166OpenAlexW3134323281WikidataQ115605908 ScholiaQ115605908MaRDI QIDQ2041501

Vicenţiu D. Rădulescu, Giovany M. Figueiredo

Publication date: 23 July 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-021-01077-7

zbMATH Keywords

critical exponential growthNehari manifold methodMoser iterationsprescribed mean curvature problemStampacchia estimates

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Methods involving semicontinuity and convergence; relaxation (49J45) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (5)

Unbalanced fractional elliptic problems with exponential nonlinearity: subcritical and critical cases ⋮ Multiplicity of solution for some classes of prescribed mean curvature equation with Dirichlet boundary condition ⋮ Existence of heteroclinic solutions for the prescribed curvature equation ⋮ Multiplicity of solutions for some classes of prescribed mean curvature equations with local conditions ⋮ Existence and concentration of ground state solutions for an equation with steep potential well and exponential critical growth

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