The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents

The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents

Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev-Hardy exponent is proved. This result extends...

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Veröffentlicht in:Abstract and applied analysis 2019, Vol.2019 (2019), p.1-10
1. Verfasser: Khiddi, M.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
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Elliptic functions
Inequality
Maximum principle
Partial differential equations
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Zusammenfassung:Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev-Hardy exponent is proved. This result extends several recent results on the topic.
ISSN:1085-3375
1687-0409
DOI:10.1155/2019/6021293