Indefinite quasilinear elliptic equations in exterior domains with exponential critical growth.

zbMath1249.35085MaRDI QIDQ425262

Luciana Roze de Freitas, Sérgio H. M. Soares, Claudianor Oliveira Alves

Publication date: 7 June 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

quasilinear elliptic equationmountain pass theoremexterior domain\(N\)-Laplacianexponential critical growth

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35)

Related Items (9)

Multiplicity of solutions for a class of quasilinear equations with exponential critical growth ⋮ Existence for singular critical exponential \((p,Q)\) equations in the Heisenberg group ⋮ Quasilinear equations involving indefinite nonlinearities and exponential critical growth in \(\mathbb{R}^N\) ⋮ EXISTENCE OF POSITIVE SOLUTION FOR INDEFINITE KIRCHHOFF EQUATION IN EXTERIOR DOMAINS WITH SUBCRITICAL OR CRITICAL GROWTH ⋮ On an indefinite nonhomogeneous equation with critical exponential growth ⋮ Existence of positive solutions for a class of quasilinear elliptic problems with exponential growth via the Nehari manifold method ⋮ Unnamed Item ⋮ Multiplicity of solutions for an elliptic equation with exponential growth ⋮ \((p,N)\) equations with critical exponential nonlinearities in \(\mathbb{R}^N\)

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