Results 31 to 40 of about 1,157 (77)
An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
, 2020 In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes.
Della Pietra, Francesco +1 more
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Worst-case shape optimization for the Dirichlet energy [PDF]
, 2016 We consider the optimization problem for a shape cost functional $F(\Omega,f)$ which depends on a domain $\Omega$ varying in a suitable admissible class and on a "right-hand side" $f$. More precisely, the cost functional $F$ is given by an integral which
Bellido, José Carlos +2 more
core +3 more sources
Asymptotics of eigenvalues of the Schroedinger operator with a strong delta-interaction on a loop [PDF]
, 2001 In this paper we investigate the operator $H_{\beta}=-\Delta-\beta\delta(\cdot-\Gamma)$ in $L^{2}({\Bbb R}^{2})$, where $\beta>0$ and $\Gamma$ is a closed $C^{4}$ Jordan curve in ${\Bbb R}^{2}$.
Brasche +7 more
core +1 more source
Isoperimetric Inequalities for Positive Solution of P-Laplacian
, 2014 In this paper, we prove some isoperimetric inequalities and give a explicit bound for the positive solution of P-Laplacian. Mathematics subject classification (2010): 4QJ10, 35P15, 49J20.
H. Hu, Q. Dai
semanticscholar +1 more source
Lieb-Thirring inequalities with improved constants
, 2007 Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one-dimension. This allow us to improve on the known estimates of best constants in Lieb-Thirring inequalities for the sum of the negative eigenvalues for multi ...
Dolbeault, Jean +2 more
core +1 more source
Multiplicity solutions of a class fractional Schrödinger equations
Open Mathematics, 2017 In this paper, we study the existence of nontrivial solutions to a class fractional Schrödinger equations (−Δ)su+V(x)u=λf(x,u)inRN, $$ {( - \Delta )^s}u + V(x)u = \lambda f(x,u)\,\,{\rm in}\,\,{\mathbb{R}^N}, $$ where (−Δ)su(x)=2limε→0∫RN∖Bε(X)u(x)−u(y ...
Jia Li-Jiang +3 more
doaj +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 We present some estimate of the Laplacian Spectrum and of Topological Invariants for Riemannian manifold with pinched sectional curvature and with non-empty and non-convex boundary with finite injectivity radius. These estimates do not depend directly on
Sabatini Luca
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Estimates on the first two buckling eigenvalues on spherical domains
, 2009 In this paper, we study the first two eigenvalues of the buckling problem on spherical domains. We obtain an estimate on the second eigenvalue in terms of the first eigenvalue, which improves one recent result obtained by Wang-Xia in [7].Comment: This ...
Ashbaugh +8 more
core +1 more source
Front instability in a condensed phase combustion model
Advances in Nonlinear Analysis, 2015 We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis +2 more
doaj +1 more source
Estimates for lower bounds of eigenvalues of the Klein-Gordon operator
, 2014 In this paper, we establish some inequalities for eigenvalues of the Klein-Gordon operator on a bounded domain in an n -dimensional Euclidean space. These inequalities give some sharper estimates for lower bounds of the sums of its first k eigenvalues ...
He-Jun Sun, Lingzhong Zeng
semanticscholar +1 more source