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Steklov–Neumann Biharmonic Problem in Weighted Spaces
AbstractWe consider the mixed biharmonic problem with the Steklov–Neumann boundary conditions with parameters in the exterior of a compact set under...
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Steklov–Farwig Biharmonic Problem in Exterior Domains
AbstractA biharmonic problem with the mixed Steklov–Farwig boundary conditions in the exterior of a compact set is considered under the assumption...
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Biharmonic Problem for an Angle and Monogenic Functions
We consider a piecewise continuous biharmonic problem in an angle and the corresponding Schwartz-type boundary-value problem for monogenic functions...
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A biharmonic analogue of the Alt–Caffarelli problem
We study a natural biharmonic analogue of the classical Alt–Caffarelli problem, both under Dirichlet and under Navier boundary conditions. We show...
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On the solution of a complicated biharmonic equation in a hydroelasticity problem
A hydroelastic problem of free vibrations of a thin plate that horizontally separates ideal in-compressible liquids of different densities in a rigid...
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A Spectral Sobolev Problem for the Biharmonic Operator
AbstractConsider the biharmonic operator on the 3-dimensional torus with the domain given by functions vanishing on a circle inside the torus. We...
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A Novel Boundary Integral Formulation for the Biharmonic Wave Scattering Problem
This paper is concerned with the cavity scattering problem in an infinite thin plate, where the out-of-plane displacement is governed by the...
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Mixed Biharmonic Problem with the Steklov-type and Neumann Boundary Conditions in Unbounded Domains
AbstractA biharmonic problem with mixed Steklov-type and Neumann conditions on the boundary in the exterior of a compact set is considered under the...
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A note on the paper "An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator"
This note aim to provide a deeper insight on article dealing with an inverse problem for biharmonic operator with second order perturbation. More...
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Quasiconformal Extensions of Biharmonic Map**s and Strongly Starlike Biharmonic Map**s
As a generalization of conformal map**s and planar harmonic map**s, biharmonic map**s have attracted more and more attention. This paper...
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The Nehari Manifold Approach Involving a Singular p(x)-Biharmonic Problem with Navier Boundary Conditions
Using variational tools combined with Nehari manifold approach, we discuss in this paper, the existence of solutions for a class of singular
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Three solutions to a Neumann boundary value problem driven by p(x)-biharmonic operator
In this article, we establish the existence of at least three distinct weak solutions for a specific class of quasilinear elliptic equations. These...
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Taylor Series of Biharmonic Poisson Integral for Upper Half-Plane
The fourth-order partial differential equation for the biharmonic Poisson integral is presented in the case of the upper half-plane ( y > 0). To solve...
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On a generalized p(x)-biharmonic problem with two nonlocal terms
Using variational methods, we obtain in this paper, the multiplicity of nontrivial weak solutions for a class of generalized p ( x )-biharmonic problem...
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On a p(x)-biharmonic singular coefficients problem with no-flux boundary condition
Using the classical theorem of calculus of variations and the mointain pass type theorem, we show the existence and multiplicity of solution for...
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On nonhomogeneous biharmonic problem involving Rellich-type potentials and a critical Sobolev exponent
This paper is concerned with the existence of multiple solutions for a biharmonic problem involving multi-polar Rellich type potentials and Sobolev...