Corrections to "Existence and stability of solutions for semilinear Dirichlet problems" (Ann. Polon. Math. 88 (2006), 127-139)
Marek Galewski (2008)
Annales Polonici Mathematici
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Displaying similar documents to “Existence and stability of solutions for semilinear Dirichlet problems”
Corrections to "Existence and stability of solutions for semilinear Dirichlet problems" (Ann. Polon. Math. 88 (2006), 127-139)
Stability of solutions for an abstract Dirichlet problem
Marek Galewski (2004)
Annales Polonici Mathematici
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We consider continuous dependence of solutions on the right hand side for a semilinear operator equation Lx = ∇G(x), where L: D(L) ⊂ Y → Y (Y a Hilbert space) is self-adjoint and positive definite and G:Y → Y is a convex functional with superquadratic growth. As applications we derive some stability results and dependence on a functional parameter for a fourth order Dirichlet problem. Applications to P.D.E. are also given.
The product of two Dirichlet series
Frédéric Bayart (2004)
Acta Arithmetica
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A note on the fourth moment of Dirichlet L-functions
H. M. Bui, D. R. Heath-Brown (2010)
Acta Arithmetica
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Generalized multiple Dirichlet series and generalized multiple polylogarithms
Kohji Matsumoto, Hirofumi Tsumura (2006)
Acta Arithmetica
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Multiple solutions for some Dirichlet problems with nonlocal terms
Filippo Cammaroto, Francesca Faraci (2012)
Annales Polonici Mathematici
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We deal with some Dirichlet problems involving a nonlocal term. The existence of two nonzero, nonnegative solutions is achieved by applying a recent result by Ricceri.
Some identities involving the Dirichlet L-function
Zhefeng Xu, Wenpeng Zhang (2007)
Acta Arithmetica
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Growth of coefficients of universal Dirichlet series
A. Mouze (2007)
Annales Polonici Mathematici
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We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.
An existence and localization theorem for the solutions of a Dirichlet problem
Giovanni Anello, Giuseppe Cordaro (2004)
Annales Polonici Mathematici
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We establish an existence theorem for a Dirichlet problem with homogeneous boundary conditions by using a general variational principle of Ricceri.
Bounding L-functions by class numbers
A. Mallik (1981)
Acta Arithmetica
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An inhomogeneous Dirichlet problem for a non-hypoelliptic linear partial differential operator.
Hochmuth, Reinhard (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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On Leja-Górski approximations in the spatial Dirichlet's problem
W. Kleiner (1966)
Colloquium Mathematicae
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On the Laurent Coefficients of Certain Dirichlet Series
Aleksandar Ivić (1993)
Publications de l'Institut Mathématique
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Dirichlet Finite Biharmonic Functions with Dirichlet Finite Laplacians.
Mitsuru Nakai, Leo Sario (1971)
Mathematische Zeitschrift
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On the logarithmic derivatives of Dirichlet L-functions at s=1
Yasutaka Ihara, V. Kumar Murty, Mahoro Shimura (2009)
Acta Arithmetica
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Characterization of bases in the space of entire Dirichlet series of order zero
A. Kumar, G. S. Srivastava (1990)
Matematički Vesnik
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On the coefficients of the Taylor expansion of the Dirichlet L-function at s = 1
Hideaki Ishikawa (2001)
Acta Arithmetica
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On Dirichlet type spaces on the unit ball of C n
Małgorzata Michalska (2011)
Annales UMCS, Mathematica
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In this paper we discuss characterizations of Dirichlet type spaces on the unit ball of Cn obtained by P. Hu and W. Zhang [2], and S. Li [4].
On the existence of solutions of some non-linear Dirichlet problems
Jan Bęczek (1988)
Annales Polonici Mathematici
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New variational principle and duality for an abstract semilinear Dirichlet problem
Marek Galewski (2003)
Annales Polonici Mathematici
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A new variational principle and duality for the problem Lu = ∇G(u) are provided, where L is a positive definite and selfadjoint operator and ∇G is a continuous gradient mapping such that G satisfies superquadratic growth conditions. The results obtained may be applied to Dirichlet problems for both ordinary and partial differential equations.