On the uniqueness result for the Dirichlet problem and invexity.

Plócienniczak, M.

Displaying similar documents to “On the uniqueness result for the Dirichlet problem and invexity.”

On minimizing noncoercive functionals on weakly vlosed sets

Vy Le, Klaus Schmitt (1996)

Banach Center Publications

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We consider noncoercive functionals on a reflexive Banach space and establish minimization theorems for such functionals on smooth constraint manifolds. The functionals considered belong to a class which includes semi-coercive, compact-coercive and P-coercive functionals. Some applications to nonlinear partial differential equations are given.

The generalization of the Du Bois-Reymond lemma for functions of two variables to the case of partial derivatives of any order

Dariusz Idczak (1996)

Banach Center Publications

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In the paper, the generalization of the Du Bois-Reymond lemma for functions of two variables to the case of partial derivatives of any order is proved. Some application of this theorem to the coercive Dirichlet problem is given.

On the spectrum of the $p$ -biharmonic operator.

El Khalil, Abdelouahed, Kellati, Siham, Touzani, Abdelfattah (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Viable solutions for second order nonconvex functional differential inclusions.

Lupulescu, Vasile (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Minimax inequality for a special class of functionals and its application to existence of three solutions for a Dirichlet problem in one-dimensional case.

Afrouzi, G.A., Heidarkhani, S., Hossienzadeh, H., Yazdani, A. (2010)

The Journal of Nonlinear Sciences and its Applications

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Variational methods and linearization tools towards the spectral analysis of the $p$ -Laplacian, especially for the Fredholm alternative.

Takáč, Peter (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Solution of the Dirichlet problem with l^p boundary condition

Dagmar Medková (2008)

Kragujevac Journal of Mathematics

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Existence results for quasilinear degenerated equations via strong convergence of truncations.

Youssef Akdim, Elhoussine Azroul, Abdelmoujib Benkirane (2004)

Revista Matemática Complutense

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In this paper we study the existence of solutions for quasilinear degenerated elliptic operators A(u) + g(x,u,∇u) = f, where A is a Leray-Lions operator from W (Ω,ω) into its dual, while g(x,s,ξ) is a nonlinear term which has a growth condition with respect to ξ and no growth with respect to s, but it satisfies a sign condition on s. The right hand side f is assumed to belong either to W(Ω,ω*) or to L(Ω).

On the correctness of the Dirichlet problem in a characteristic rectangle for fourth order linear hyperbolic equations.

Kiguradze, T. (1999)

Georgian Mathematical Journal

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Two functionals for which $C_{0}^{1}$ minimizers are also $W_{0}^{1, p}$ minimizers.

Li, Yanming, Xuan, Benjin (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Results on existence of solution for an optimal design problem.

Carmen Calvo Jurado, Juan Casado Díaz (2003)

Extracta Mathematicae

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In this paper we study a control problem for elliptic nonlinear monotone problems with Dirichlet boundary conditions where the control variables are the coefficients of the equation and the open set where the partial differential problem is studied.