Existence of nonnegative viscosity solutions for a class of problems involving the $${\infty}$$-Laplacian-Reference-Cited by-同舟云学术

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Existence of nonnegative viscosity solutions for a class of problems involving the $${\infty}$$-Laplacian

Published:2016-03-26 Issue:2 Volume:23 Page:
ISSN:1021-9722
Container-title:Nonlinear Differential Equations and Applications NoDEA
language:en
Short-container-title:Nonlinear Differ. Equ. Appl.

Author:

Bocea Marian,Mihăilescu Mihai

Funder

National Science Foundation

CNCS-UEFISCDI

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00030-016-0373-2.pdf

Reference13 articles.

1. Badiale M., Serra E.: Semilinear elliptic equations for beginners. Existence results via the variational approach. Springer, London (2011)

2. Bocea M., Mihăilescu M.: Eigenvalue problems in Orlicz–Sobolev spaces for rapidly growing operators in divergence form. J. Differ. Equ. 256, 640–657 (2014)

3. Bocea M., Mihăilescu M., Stancu-Dumitru D.: The limiting behavior of solutions to inhomogeneous eigenvalue problems in Orlicz–Sobolev spaces. Adv. Nonlinear Stud. 14, 977–990 (2014)

4. Charro F., Peral I.: Limits branch of solutions as $${p\rightarrow\infty}$$ for a family of sub-diffusive problems related to the p-Laplacian. Comm. Part. Diff. Equ. 32, 1965–1981 (2007)

5. Charro F., Parini E.: Limits as $${p\rightarrow\infty}$$ of p-Laplacian problems with a superdiffusive power-type nonlinearity: positive and sign-changing solutions. J. Math. Anal. Appl. 372, 629–644 (2001)

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