Cristelle Barillon, Georgy M. Makhviladze, Vitaly A. Volpert (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Nelson, M. I., Brindley, J., McIntosh, A. C. (2002)
Journal of Applied Mathematics and Decision Sciences
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Druet, Olivier, Hebey, Emmanuel, Robert, Frédéric (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Michael Struwe (2000)
Journal of the European Mathematical Society
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For semilinear elliptic equations of critical exponential growth we establish the existence of positive solutions to the Dirichlet problem on suitable non-contractible domains.
Gazzola, Filippo (1998)
Abstract and Applied Analysis
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Chen, Xiao Dong, Nguang, Sing Kiong (2003)
Journal of Applied Mathematics and Decision Sciences
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Longjie Xie, Xicheng Zhang (2014)
Studia Mathematica
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We construct the heat kernel of the 1/2-order Laplacian perturbed by a first-order gradient term in Hölder spaces and a zero-order potential term in a generalized Kato class, and obtain sharp two-sided estimates as well as a gradient estimate of the heat kernel, where the proof of the lower bound is based on a probabilistic approach.
Chun Li, Zeng-Qi Ou, Chun-Lei Tang (2013)
Studia Mathematica
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Using a version of the Local Linking Theorem and the Fountain Theorem, we obtain some existence and multiplicity results for a class of superquadratic elliptic equations.
J. Chabrowski, E. Tonkes (2003)
Annales Polonici Mathematici
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We discuss the existence of solutions for a system of elliptic equations involving a coupling nonlinearity containing a critical and subcritical Sobolev exponent. We establish the existence of ground state solutions. The concentration of solutions is also established as a parameter λ becomes large.
Moitsheki, Raseelo J., Rowjee, Atish (2011)
Mathematical Problems in Engineering
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Marian Smoluchowski (1924)
Pisma Mariana Smoluchowskiego
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G. K. Dhawan, D. D. Paliwal (1977)
Publications de l'Institut Mathématique
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J. Chabrowski, P. Drábek (2002)
Studia Mathematica
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We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.
Hukum Chand Agrawal (1977)
Publications de l'Institut Mathématique
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Jürg Fröhlich, Thomas Spencer (1982)
Recherche Coopérative sur Programme n°25
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