Results 21 to 30 of about 71 (71)

Existence and Concentration of Solutions for Choquard Equations with Steep Potential Well and Doubly Critical Exponents

open access: yesAdvanced Nonlinear Studies, 2021
In this paper, we investigate the non-autonomous Choquard ...
Li Yong-Yong, Li Gui-Dong, Tang Chun-Lei
doaj   +1 more source

On the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radius of balls in ℝN

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 279-283, 2002., 2002
We investigate the continuity of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem −Δu(x) = λg(x)u(x), x ∈ BR(0); u(x) = 0, |x| = R, where BR(0) is a ball in ℝN, and g is a smooth function, and we show that λ1+(R) and λ1−(R) are continuous functions of R.
Ghasem Alizadeh Afrouzi
wiley   +1 more source

On a class of critical elliptic systems in ℝ4

open access: yesAdvances in Nonlinear Analysis, 2020
In the present paper, we consider the following classes of elliptic systems with Sobolev critical growth:
Zhao Xin, Zou Wenming
doaj   +1 more source

Regularizing Effect of Two Hypotheses on the Interplay Between Coefficients in Some Hamilton–Jacobi Equations

open access: yesAdvanced Nonlinear Studies, 2021
We study of the regularizing effect of the interaction between the coefficient of the zero-order term and the lower-order term in quasilinear Dirichlet problems whose model ...
Arcoya David, Boccardo Lucio
doaj   +1 more source

Boundedness and monotonicity of principal eigenvalues for boundary value problems with indefinite weight functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 1, Page 25-29, 2002., 2002
We study the principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem: −Δu(x) = λg(x)u(x), x ∈ D; (∂u/∂n)(x) + αu(x) = 0, x ∈ ∂D, where Δ is the standard Laplace operator, D is a bounded domain with smooth boundary, g : D → ℝ is a smooth function which changes sign on D and α ∈ ℝ.
G. A. Afrouzi
wiley   +1 more source

Approximate nonradial solutions for the Lane-Emden problem in the ball

open access: yesAdvances in Nonlinear Analysis, 2021
In this paper we provide a numerical approximation of bifurcation branches from nodal radial solutions of the Lane Emden Dirichlet problem in the unit ball in ℝ2, as the exponent of the nonlinearity varies.
Fazekas Borbála   +2 more
doaj   +1 more source

Continuous and Lp estimates for the complex Monge‐Ampère equation on bounded domains in ℂn

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 11, Page 705-707, 2002., 2002
Continuous solutions with continuous data and Lp solutions with Lp data are obtained for the complex Monge‐Ampère equation on bounded domains, without requiring any smoothness of the domains.
Patrick W. Darko
wiley   +1 more source

Numerical modelling challenges for clinical electroporation ablation technique of liver tumors

open access: yes, 2020
International audienceElectroporation ablation is a promising non surgical and minimally invasive technique of tumor ablation, for which no monitoring is currently available.
Poignard, Clair   +7 more
core   +1 more source

Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian

open access: yesAdvances in Nonlinear Analysis, 2021
In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at ...
Manouni Said El   +2 more
doaj   +1 more source

Strong unique continuation of eigenfunctions for p‐Laplacian operator

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 213-216, 2001., 2001
We show the strong unique continuation property of the eigenfunctions for p‐Laplacian operator in the case p < N.
Islam Eddine Hadi, N. Tsouli
wiley   +1 more source

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