Multiple positive solutions for singular elliptic equations with weighted Hardy terms and critical Sobolev–Hardy exponents

Tsing-San Hsu; Huei-Li Lin

doi:10.1017/S0308210509000729

Abstract

Variational methods are used to prove the multiplicity of positive solutions for the following singular elliptic equation:

where 0 ∈ Ω ⊂ ℝN, N ≥ 3, is a bounded domain with smooth boundary ∂ Ω, λ > 0 , , 0 ≤ s < 2, 2*(s)=2(N−s)/(N−2) and f and g are continuous functions on , that change sign on Ω.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Hsu, Tsing-San 2011. Multiple positive solutions for a quasilinear elliptic problem involving critical Sobolev–Hardy exponents and concave–convex nonlinearities. Nonlinear Analysis: Theory, Methods & Applications, Vol. 74, Issue. 12, p. 3934.

Hsu, Tsing-San 2011. Multiple positive solutions for semilinear elliptic equations involving multi-singular inverse square potentials and concave–convex nonlinearities. Nonlinear Analysis: Theory, Methods & Applications, Vol. 74, Issue. 11, p. 3703.

Hsu, Tsing-San and Kirk, W. A. 2011. On the Elliptic Problems Involving Multisingular Inverse Square Potentials and Concave‐Convex Nonlinearities. Abstract and Applied Analysis, Vol. 2011, Issue. 1,

Hsu, Tsing-San and Li, Huei-Lin 2011. Multiplicity of positive solutions for singular elliptic systems with critical sobolev-hardy and concave exponents. Acta Mathematica Scientia, Vol. 31, Issue. 3, p. 791.

Hsu, Tsing-San Lin, Huei-Li and Schechter, Martin D. 2012. Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy‐Sobolev Exponents and Concave‐Convex Nonlinearities. Abstract and Applied Analysis, Vol. 2012, Issue. 1,

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Multiple positive solutions for singular elliptic equations with weighted Hardy terms and critical Sobolev–Hardy exponents

Abstract

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Multiple positive solutions for singular elliptic equations with weighted Hardy terms and critical Sobolev–Hardy exponents

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