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Asymptotic behaviour of small solutions of quasilinear elliptic equations with critical and supercritical growth

Affiliation:	1. Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, 04510 Coyoacán, Ciudad de México, Mexico;2. Departamento de Análisis Matemático y Matemática Aplicada, Facultad de Ciencias Químicas, Universidad Complutense de Madrid, 28040 Madrid, Spain;3. Dipartimento di Metodi e Modelli Matematici, La Sapienza Università di Roma, Via Antonio Scarpa 16, 00161 Roma, Italy;1. Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan;2. Mathematical Institute, Tohoku University, Aoba, Sendai 980-8578, Japan;3. Miyagi University of Education, Aoba, Sendai 980-0845, Japan;1. Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China;2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Abstract:	Asymptotic behaviour of small solutions of a class of singularly perturbed quasilinear elliptic Dirichlet problems with critical and supercritical growth is studied as ε→0.

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