ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS

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NYAMORADI N.; SHEKARBIGI M.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2013 | Volume:3 | Issue:3 Page(s): 217-236

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Information Journal Paper

Title

ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS

Author(s)

NYAMORADI N. | SHEKARBIGI M. | Issue Writer Certificate

Keywords

QUASILINEAR ELLIPTIC SYSTEM

CRITICAL HARDY EXPONENTS

SINGULAR WEIGHTS

ENERGY FUNCTIONAL

VARIATIONAL METHOD

Abstract

Abstract. In this paper, we consider the existence of a non-trivial weak solution to a quasi- linear elliptic system involving CRITICAL HARDY EXPONENTS. The main issue of the paper is to understand the behavior of these Palais-Smale sequences. Indeed, the principal difficulty here is that there is an asymptotic competition between the ENERGY FUNCTIONAL carried by the critical nonlinearities. Then by the VARIATIONAL METHOD, we obtain the existence non-trivial week solution for the system.

Cites

EXISTENCE OF FIXED POINTS OF CERTAIN CLASSES OF NONLINEAR MAPPINGS

References

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APA: Copy

NYAMORADI, N., & SHEKARBIGI, M.. (2013). ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 3(3), 217-236. SID. https://sid.ir/paper/328290/en

Vancouver: Copy

NYAMORADI N., SHEKARBIGI M.. ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2013;3(3):217-236. Available from: https://sid.ir/paper/328290/en

IEEE: Copy

N. NYAMORADI, and M. SHEKARBIGI, “ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 3, no. 3, pp. 217–236, 2013, [Online]. Available: https://sid.ir/paper/328290/en

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