Existence and stability of solutions for semilinear Dirichlet problems

Marek Galewski

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)

Marek Galewski (2008)

Annales Polonici Mathematici

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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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Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation

Hongfen Yuan, Valery V. Karachik (2022)

Czechoslovak Mathematical Journal

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Applying the method of normalized systems of functions we construct solutions of the generalized Dirichlet problem for the iterated slice Dirac operator in Clifford analysis. This problem is a natural generalization of the Dirichlet problem.