Existence of multiple positive weak solutions and estimates for extremal values for a class of concave-convex elliptic problems with an inverse-square potential-Reference-Cited by-同舟云学术

Existence of multiple positive weak solutions and estimates for extremal values for a class of concave-convex elliptic problems with an inverse-square potential

Published:2017 Issue:5 Volume:16 Page:1531-1552
ISSN:1553-5258
Container-title:Communications on Pure & Applied Analysis
language:en
Short-container-title:

Author:

Chen Yaoping, ,Chen Jianqing,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Medicine,Applied Mathematics,Analysis

Reference12 articles.

1. Combined effects of concave and convex nonlinearities in some elliptic problems,;A. Ambrosetti;J. Funct. Anal.,1994

2. Applied Nonlinear Analysis, Pure and Applied Mathematics,;J. P. Aubin;Wiley Interscience Publications,1984

3. Nehari manifold and existence of positive solutions to a class of quasilinear problems,;C. O. Alves;Nonlinear Anal.,2005

4. A borderline case in elliptic problems involving weights of Caffarelli-Kohn-Nirenberg type,;J. García-Azorero;Nonlinear Anal.,2007

5. The heat equation with a singular potential,;P. Baras;Trans. Amer. Math. Soc.,1984

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