p-biharmonic
A generalized nonlinear Picone identity for the p biharmonic operator and its applications
... the p-biharmonic operator, which extends the results of Dwivedi and Tyagi [3] and Dwivedi ...the p-biharmonic equation with singular term, a Liouville’s theorem to the ...
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An exact estimate result for p biharmonic equations with Hardy potential and negative exponents
... In this paper, p-biharmonic equations involving Hardy potential and negative exponents with a parameter λ are considered. By means of the structure and properties of Nehari manifold, we give uniform lower ...
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Multiple solutions on a p-biharmonic equation with nonlocal term
... In the present paper, inspired by [, , –], we consider the p-biharmonic equation (.) with nonlocal term on unbounded domain . By the fountain theorem we prove the existence of infinitely many ...
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Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator
... In present study, we prove the existence of at least three positive solutions for problem (1.1) and obtain an estimate on the norms of the solutions. Our approach is chiefly based on the main critical point theorem given ...
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INFINITELY MANY SOLUTIONS FOR A CLASS OF P-BIHARMONIC PROBLEMS WITH NEUMANN BOUNDARY CONDITIONS
... Here, due to importance of fourth-order problems in describing a large class of elastic deflection or modeling to study travalling waves in suspen- sion bridge, we treat a nonhomogenous Neumann-type problem driven by the ...
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Infinitely many solutions for p-biharmonic equation with general potential and concave-convex nonlinearity in \(\mathbb{R}^{N}\)
... In the present paper, we will answer this interesting question. We consider the exis- tence of solutions to the p-biharmonic problem (.) with a more general potential V (x). To prove that the (PS) ...
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Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations
... of p- biharmonic equations has been studied by several authors; see [6, 8, 12, 15, 21, 24, 30, 31, ...the p-Laplace type operators, which generalize the usual p-Laplacian, the authors in [10, ...
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On Henig Regularization of Material Design Problems for Quasi Linear p Biharmonic Equation
... + p ( ) Γ S (see (32)) by its solid Henig approximation ( ) Λ ε (see [21]-[24]) and show that the conical regularization approach leads to a family of optimization problems such that their solutions can be ...
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On the Spectrum of problems involving both p(x)-Laplacian and P(x)-Biharmonic
... 2 p(x) u := ∆( | ∆u | p(x) − 2 ∆u), is the p(x)-biharmonic op- erator which is a natural generalization of the p- biharmonic (where the exponent p is constant) and ∆ ...
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On a \(p(x)\)-biharmonic problem with Navier boundary condition
... the p(x)-biharmonic problems. The p(x)-biharmonic operator possesses more complicated nonlinearities than the p-biharmonic one, for example, it is ...
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Univalent Biharmonic Mappings and Linearly Connected Domains
... are biharmonic functions or functions associated with them ( see [15, 16 ...over, biharmonic Mapping are closely related to the theory of Laguerre Minimal Surfaces (for details see [5, 7, 8, 9, 17, ...of ...
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Nonexistence of Nontrivial Solutions with Decay Order for a Biharmonic P Laplacian Equation and System
... a biharmonic equation with a p-Laplacian term and a system of coupled biharmonic equations with p-Laplacian terms in the en- tire Euclidean ...
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Biharmonic function of protein in mocorin and its optimization
... Without these bounds, negative values may occur which are not realistic in practical application. The fmincon.m function is implemented to obtain minimum value of protein. Since the maximum value of protein of each set ...
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Regularization of an initial inverse problem for a biharmonic equation
... , p > 2. The biharmonic equation arises in many engineering applications such as the deformation of thin plates, the motion of fluids, free boundary problems, nonlinear elasticity and for historical ...
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Solutions of biharmonic equations with mixed nonlinearity
... ≤ p < . There are many results for biharmonic equations, but most of them are on bounded domains; see ...addition, biharmonic equations on unbounded domains also have captured a lot of interest; ...
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Nonlinear biharmonic boundary value problem
... We consider the nonlinear biharmonic equation with variable coefficient and polynomial growth nonlinearity and Dirichlet boundary condition. We get two theorems. One theorem says that there exists at least one ...
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Biharmonic Maps into S-Space forms
... Corollary 2. Let (M, g) be a (2n − 1) + 1-dimensional submanifold of Sasakian space form N of dimension 2n + 1, and Φ : (M, g) → (N, h) be an isometric immersion with non zero constant parallel mean curvature with ...
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Existence of solutions for a family of polyharmonic and biharmonic equations
... < p < (n + 2)/(n − 2) and does not have any solution if (n + 2)/(n − 2) < ...is, p = (n+2)/(n − 2), Br´ezis and Nirenberg, by considering g = f + u (n+2)/(n − 2) , have proved that, if f ≡ 0, the ...
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Supercritical biharmonic equations with power type nonlinearity
... Concerning the Dirichlet problem we prove existence of at least one singular solution with corresponding eigenvalue parameter. Moreover, for the extremal solution in the bifurcation diagram for this nonlinear ...
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Singular potential biharmonic problem with fixed energy
... biharmonic problem with fixed energy. We get a theorem that shows the existence of at least one nontrivial weak solution under some conditions and fixed energy on which the corresponding functional of the equation ...
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