Existence of a positive solution for a nonlinear elliptic equation with saddle-like potential and nonlinearity with exponential critical growth in \({\mathbb{R}^{2}}\)
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Publication:302412
DOI10.1007/s00032-015-0247-9zbMath1344.35020arXiv1506.04947OpenAlexW1876200479MaRDI QIDQ302412
Publication date: 5 July 2016
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.04947
Variational methods applied to PDEs (35A15) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)
Related Items (9)
Concentration phenomena for fractional elliptic equations involving exponential critical growth ⋮ Solutions concentrating around the saddle points of the potential for two-dimensional Schrödinger equations ⋮ On a fractional magnetic Schrödinger equation in \(\mathbb{R}\) with exponential critical growth ⋮ Existence of a positive solution for a logarithmic Schrödinger equation with saddle-like potential ⋮ Existence of solution for a class of heat equation in whole \(\mathbb{R}^N\) ⋮ Multiplicity of solutions for a class of fractional elliptic problems with critical exponential growth and nonlocal Neumann condition ⋮ A critical nonlinear fractional elliptic equation with saddle-like potential in ℝN ⋮ Solvability of nonlinear problem for some second-order nonstrongly elliptic system ⋮ On a critical exponential \(p \& N\) equation type: existence and concentration of changing solutions
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