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2004 THE EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF INDEFINITE WEIGHT SEMILINEAR ELLIPTIC PROBLEMS WITH CRITICAL SOBOLEV EXPONENT
Bongsoo Ko
Taiwanese J. Math. 8(1): 71-83 (2004). DOI: 10.11650/twjm/1500558458

Abstract

We prove the existence of classical positive solutions for a class of indefinite weight semilinear elliptic partial defferential equations on the homogeneous Dirichlet boundary conditions and with that the growth of the perturbation is critical Soboler exponent.

Citation

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Bongsoo Ko. "THE EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF INDEFINITE WEIGHT SEMILINEAR ELLIPTIC PROBLEMS WITH CRITICAL SOBOLEV EXPONENT." Taiwanese J. Math. 8 (1) 71 - 83, 2004. https://doi.org/10.11650/twjm/1500558458

Information

Published: 2004
First available in Project Euclid: 20 July 2017

zbMATH: 1096.35051
MathSciNet: MR2058919
Digital Object Identifier: 10.11650/twjm/1500558458

Subjects:
Primary: 35J20 , 35J25 , 35J65

Keywords: critical Soboler exponent , Ekeland's variational principle , implicit function theorem , indefinite weight semilinearproblems , Nehari manifold , ‎positive‎ ‎solutions

Rights: Copyright © 2004 The Mathematical Society of the Republic of China

Vol.8 • No. 1 • 2004
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