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On some local-nonlocal elliptic equation involving nonlinear terms with exponential growth

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In this paper, we prove the existence of multiple solutions to some intermediate local-nonlocal elliptic equation in the whole two dimensional space. The nonlinearities exhibit an exponential growth at infinity. Click to show full abstract

In this paper, we prove the existence of multiple solutions to some intermediate local-nonlocal elliptic equation in the whole two dimensional space. The nonlinearities exhibit an exponential growth at infinity.

Keywords: elliptic equation; nonlocal elliptic; local nonlocal; exponential growth

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2017

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