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Annals of the University of Craiova Mathematics and Computer Science Series
In this article, we study the following non local weighted problem $$g\big(\int_{B}(w(x)|\Delta u|^{\frac{N}{2}})dx\big)\Delta(w(x)|\Delta u|^{\frac{N}{2}-2} \Delta u) =|u|^{q-2}u +\ f(x,u) \quad\mbox{ in }\quad B, \quad u=\frac{\partial u}{\partial n}=0 \quad\mbox{ on } \quad\partial B,$$ where $B$ is the unit ball in $\mathbb{R}^{N}$ and $ w(x)$ is a
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In this article, we study the following non local weighted problem $$g\big(\int_{B}(w(x)|\Delta u|^{\frac{N}{2}})dx\big)\Delta(w(x)|\Delta u|^{\frac{N}{2}-2} \Delta u) =|u|^{q-2}u +\ f(x,u) \quad\mbox{ in }\quad B, \quad u=\frac{\partial u}{\partial n}=0 \quad\mbox{ on } \quad\partial B,$$ where $B$ is the unit ball in $\mathbb{R}^{N}$ and $ w(x)$ is a
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Stability for an Inverse Source Problem of the Biharmonic Operator
SIAM Journal on Applied Mathematics, 2021Peijun Li
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On radial solutions for Navier boundary eigenvalue problem with p-biharmonic operator
Recent Developments in Nonlinear Analysis, 2010Siham El Habib, Najib Tsouli
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A Spectral Sobolev Problem for the Biharmonic Operator
Lobachevskii Journal of Mathematics, 2023A Yu Savin, Savin A Yu
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A Stabilized Treatment of the Biharmonic Operator with Spectral Methods
SIAM Journal on Scientific and Statistical Computing, 1991Wilhelm Heinrichs
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Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds
Journal of Functional Analysis, 2007Changyu Xia
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On a fourth order elliptic problem with a p(x)-biharmonic operator
Applied Mathematics Letters, 2014Lingju Kong
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On the Number of Eigenvalues of the Biharmonic Operator on ℝ 3 Perturbed by a Complex Potential
Reports on Mathematical Physics, 2018Artem Hulkó
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