Estimates for the Classical Parametrix for the Laplacian.
Steven Zucker (1978)
Manuscripta mathematica
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Displaying similar documents to “Infinitely many solutions for the p(x)-Laplacian equations without (AR)-type growth condition”
Estimates for the Classical Parametrix for the Laplacian.
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Michael Langenbruch (1982)
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Xing Zhang, Xia Zhang, Yongqiang Fu (2010)
Annales Polonici Mathematici
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We study the multiplicity of solutions for a class of p(x)-Laplacian equations involving the critical exponent. Under suitable assumptions, we obtain a sequence of radially symmetric solutions associated with a sequence of positive energies going toward infinity.
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Valeria Chiadò Piat, Alessandra Coscia (1997)
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Yuji Liu (2011)
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A class of nonlinear boundary value problems for p-Laplacian differential equations is studied. Sufficient conditions for the existence of solutions are established. The nonlinearities are allowed to be superlinear. We do not apply the Green's functions of the relevant problem and the methods of obtaining a priori bounds for solutions are different from known ones. Examples that cannot be covered by known results are given to illustrate our theorems.
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Marcin Mazur (1992)
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Gilles Courtois, Bruno Colbois (1990)
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Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
Kei Funano (2016)
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We apply Gromov’s ham sandwich method to get: (1) domain monotonicity (up to a multiplicative constant factor); (2) reverse domain monotonicity (up to a multiplicative constant factor); and (3) universal inequalities for Neumann eigenvalues of the Laplacian on bounded convex domains in Euclidean space.
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AMS Subj. Classification: 30C45
Multiplicity of solutions for the noncooperative p-laplacian operator elliptic system with nonlinear boundary conditions
Sihua Liang, Jihui Zhang (2012)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper, we study the multiplicity of solutions for a class of noncooperative -Laplacian operator elliptic system. Under suitable assumptions, we obtain a sequence of solutions by using the limit index theory.
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Chhetri, Maya, Shivaji, R. (2005)
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G. Dal Maso, Anneliese Defranceschi (1992)
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Nan Wu, Jian Hua Zheng (2015)
Annales Polonici Mathematici
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We investigate how the growth of an algebroid function could be affected by the distribution of the arguments of its a-points in the complex plane. We give estimates of the growth order of an algebroid function with radially distributed values, which are counterparts of results for meromorphic functions with radially distributed values.
Extension of ultradifferentiable functions.
Michael Langenbruch (1994)
Manuscripta mathematica
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