Existence of a Positive Solution for a Nonlinear Elliptic Equation with Saddle-like Potential and Nonlinearity with Exponential Critical Growth in $${\mathbb{R}^{2}}$$ R 2-Reference-Cited by-同舟云学术

Existence of a Positive Solution for a Nonlinear Elliptic Equation with Saddle-like Potential and Nonlinearity with Exponential Critical Growth in $${\mathbb{R}^{2}}$$ R 2

Published:2015-09-23 Issue:1 Volume:84 Page:1-22
ISSN:1424-9286
Container-title:Milan Journal of Mathematics
language:en
Short-container-title:Milan J. Math.

Author:

Alves Claudianor O.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00032-015-0247-9.pdf

Reference28 articles.

1. Adimurthi A.: Existence of Positive solutions of the semilinear Dirichlet problem with critical growth for the N-Laplacian. Ann. Sc. Norm. Super. Pisa 17, 393–413 (1990)

2. Alves C.O.: Multiplicity of solutions for a class of elliptic problem in $${\mathbb{R}^{2}}$$ R 2 with Neumann conditions. J. Differential Equation 219, 20–39 (2005)

3. Alves C.O., do Ò J.M.B., Miyagaki O.H.: On nonlinear perturbations of a periodic elliptic problem in $${\mathbb{R}^{2}}$$ R 2 involving critical growth. Nonlinear Anal. 56, 781–791 (2004)

4. Alves C.O., do Ò J.M.B., Souto M.A.S.: Local mountain-pass for a class of elliptic problems involving critical growth. Nonlinear Anal. 46, 495–510 (2001)

5. Alves C.O., Figueiredo G.M.: On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in $${\mathbb{R}^{N}}$$ R N . J. Differential Equation 219, 1288–1311(2009)

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