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Ground States for Elliptic Equations in \(\pmb{\mathbb{R}}^{2}\) with Exponential Critical Growth

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Geometric Properties for Parabolic and Elliptic PDE's

Part of the book series: Springer INdAM Series ((SINDAMS,volume 2))

Abstract

In this paper, we obtain a mountain pass characterization of ground state solutions for some class of elliptic equations in ℝ2 with nonlinearities in the critical (exponential) growth range.

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Acknowledgements

The authors wish to thank the anonymous referees for their useful remarks and suggestions.

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Correspondence to Bernhard Ruf .

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Ruf, B., Sani, F. (2013). Ground States for Elliptic Equations in \(\pmb{\mathbb{R}}^{2}\) with Exponential Critical Growth. In: Magnanini, R., Sakaguchi, S., Alvino, A. (eds) Geometric Properties for Parabolic and Elliptic PDE's. Springer INdAM Series, vol 2. Springer, Milano. https://doi.org/10.1007/978-88-470-2841-8_16

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