Existence of solution for a general class of elliptic equations with exponential growth

DOI10.1007/s10231-015-0545-4zbMath1454.35187OpenAlexW2190327241MaRDI QIDQ325963

Marcelo Montenegro, Anderson Luis A. de Araujo

Publication date: 11 October 2016

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/s10231-015-0545-4

zbMATH Keywords

Dirichlet problemconformal geometryexponential growthGalerkin approximationTrudinger-Moser inequality

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Theoretical approximation in context of PDEs (35A35) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (13)

Existence of solution for elliptic equations with supercritical Trudinger–Moser growth ⋮ Existence of solution for a nonvariational elliptic system with exponential growth in dimension two ⋮ A singular Liouville equation on two-dimensional domains ⋮ A singular Liouville equation on planar domains ⋮ Positive solutions of nonlinear elliptic equations involving supercritical Sobolev exponents without Ambrosetti and Rabinowitz condition ⋮ Some existence results for elliptic systems with exponential nonlinearities and convection terms in dimension two ⋮ Existence of positive solutions for a class of quasilinear elliptic problems with exponential growth via the Nehari manifold method ⋮ Existence of a positive solution for a singular elliptic problem with general exponential growth ⋮ A log-exp elliptic equation in the plane ⋮ Positive solutions of quasilinear elliptic equations with exponential nonlinearity combined with convection term ⋮ A singular problem with nonlinearities of exponential growth ⋮ Multiple solutions for elliptic equations with exponential nonlinearity term combined with convection term in dimension two ⋮ Existence of solution for a nonlinear equation with supercritical exponential growth

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