Marek Galewski (2006)
Annales Polonici Mathematici
Similarity:
We provide existence and stability results for semilinear Dirichlet problems with nonlinearities satisfying some general local growth conditions. We derive a general abstract result which we then apply to prove the existence of solutions, their stability and continuous dependence on parameters for a sixth order ODE with Dirichlet type boundary data.
Giovanni Anello, Giuseppe Cordaro (2004)
Annales Polonici Mathematici
Similarity:
We establish an existence theorem for a Dirichlet problem with homogeneous boundary conditions by using a general variational principle of Ricceri.
Marek Galewski (2003)
Annales Polonici Mathematici
Similarity:
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.
Frédéric Bayart (2004)
Acta Arithmetica
Similarity:
H. M. Bui, D. R. Heath-Brown (2010)
Acta Arithmetica
Similarity:
Kohji Matsumoto, Hirofumi Tsumura (2006)
Acta Arithmetica
Similarity:
Zhefeng Xu, Wenpeng Zhang (2007)
Acta Arithmetica
Similarity:
Marek Galewski (2004)
Annales Polonici Mathematici
Similarity:
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.
A. Mallik (1981)
Acta Arithmetica
Similarity:
Hochmuth, Reinhard (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Similarity:
Filippo Cammaroto, Francesca Faraci (2012)
Annales Polonici Mathematici
Similarity:
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.
A. Mouze (2007)
Annales Polonici Mathematici
Similarity:
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.
W. Kleiner (1966)
Colloquium Mathematicae
Similarity:
G. A. Afrouzi, A. Hadjian, S. Heidarkhani (2013)
Annales Polonici Mathematici
Similarity:
We prove the existence of at least one non-trivial solution for Dirichlet quasilinear elliptic problems. The approach is based on variational methods.
Aleksandar Ivić (1993)
Publications de l'Institut Mathématique
Similarity:
Mitsuru Nakai, Leo Sario (1971)
Mathematische Zeitschrift
Similarity:
Hideaki Ishikawa (2001)
Acta Arithmetica
Similarity:
Yasutaka Ihara, V. Kumar Murty, Mahoro Shimura (2009)
Acta Arithmetica
Similarity:
Aleksandra Orpel (2005)
Annales Polonici Mathematici
Similarity:
We deal with the existence of solutions of the Dirichlet problem for sublinear and superlinear partial differential inclusions considered as generalizations of the Euler-Lagrange equation for a certain integral functional without convexity assumption. We develop a duality theory and variational principles for this problem. As a consequence of the duality theory we give a numerical version of the variational principles which enables approximation of the solution for our problem. ...
Jan Bęczek (1988)
Annales Polonici Mathematici
Similarity:
A. Kumar, G. S. Srivastava (1990)
Matematički Vesnik
Similarity:
Małgorzata Michalska (2011)
Annales UMCS, Mathematica
Similarity:
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].