Results 51 to 60 of about 14,259 (205)
Three solutions for quasilinear equations in Rn near resonance
Electronic Journal of Differential Equations, 2001 We use minimax methods to prove the existence of at least three solutions for a quasilinear elliptic equation in $mathbb {R}^n$ near resonance.
Pablo De Napoli, Maria Cristina Mariani
doaj
A Fredholm alternative for quasilinear elliptic equations with right-hand side measure
Advances in Nonlinear Analysis, 2016 We consider a quasilinear elliptic equation with right-hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the Fredholm alternative. For this purpose we develop a variant of degree theory
Colturato Michele, Degiovanni Marco
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Quasilinear degenerate elliptic equation with absorption term
Nonlinear Analysis: Theory, Methods & Applications, 1999 The author studies the Dirichlet problem for \(p\)-harmonic operators \[ L_pu=-\text{div} (A(x)|\nabla u|^{p-2}\nabla u) \] with absorption term \[ L_pu+B(x)Q(u)= f(x)\quad \text{in } \Omega,\qquad u=0\quad \text{on } \partial\Omega. \] Here \(B(x)\) is a nonnegative function on \(\Omega\) and \(Q(t)\) is a continuous and strictly monotone increasing ...
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Quasilinear elliptic equations via perturbation method [PDF]
Proceedings of the American Mathematical Society, 2012 The paper is concerned with the existence and multiplicity of solutions for quasilinear equations of the form \[ \begin{cases} \sum _ {i,j=1}^ND_j( a_{ij}(x,u) D_iu) & \\ \qquad-\frac12 \sum _{i,j=1}^N D_sa_{ij}(x,u) D_iu D_ju + f(x,u)=0& \mathrm{in}\,\, \Omega ,\\ u=0 & \mathrm{on}\,\, \partial \Omega \end{cases} \tag{1} \] where \(D_i= \partial ...
Liu, Xiang-Qing +2 more
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Singular quasilinear elliptic systems in $\mathbb{R}^N$
, 2018 The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point ...
Marano, S. A., Marino, G., Moussaoui, A.
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Small Science, Volume 5, Issue 10, October 2025.A microfluidic assay to study actin‐driven shape changes of giant unilamellar vesicles (GUVs) is developed. This system enables high‐throughput analysis of membrane remodeling and reveals how actin networks and lipid domains influence each other. It offers a powerful tool to dissect membrane deformation mechanisms in controlled environments. Cell shape
Lixin Huang +9 more
wiley +1 more source
Identification of nonlinear heat conduction laws
, 2014 We consider the identification of nonlinear heat conduction laws in stationary and instationary heat transfer problems. Only a single additional measurement of the temperature on a curve on the boundary is required to determine the unknown parameter ...
Egger, Herbert +2 more
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Brezis–Nirenberg type results for the anisotropic p$p$‐Laplacian
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract In this paper, we consider a quasilinear elliptic and critical problem with Dirichlet boundary conditions in presence of the anisotropic p$p$‐Laplacian. The critical exponent is the usual p★$p^{\star }$ such that the embedding W01,p(Ω)⊂Lp★(Ω)$W^{1,p}_{0}(\Omega) \subset L^{p^{\star }}(\Omega)$ is not compact.
Stefano Biagi +3 more
wiley +1 more source
Boundary singularities of N -harmonic functions [PDF]
, 2006 We construct N-harmonic functions in a domain with one isolated singularity on the boundary of the domain. By using solutions of the spherical p-harmonic spectral problem, we give an inductive method to produce a large variety of separable p-harmonic ...
Borghol, Rouba, Veron, Laurent
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On the well-posedness of a mathematical model describing water-mud interaction
, 2012 In this paper we consider a mathematical model describing the two-phase interaction between water and mud in a water canal when the width of the canal is small compared to its depth.
Abels +21 more
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