Results 21 to 30 of about 14,259 (205)
Some quasilinear elliptic equations involving multiple $p$-Laplacians [PDF]
Indiana University Mathematics Journal, 2018 18 pages, some minor ...
Alessio Pomponio, Tatsuya Watanabe
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On some properties of a system of nonlinear partial functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown function) with initial and boundary conditions and a quasilinear elliptic functional differential ...
László Simon
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Nontrivial solutions of quasilinear elliptic equations with natural growth term
, 2017 We prove the existence of multiple solutions for a quasilinear elliptic equation containing a term with natural growth, under assumptions that are invariant by diffeomorphism.
Degiovanni, Marco, Pluda, Alessandra
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Advances in Difference Equations, 2019 In this paper, we suggest a new exponential implicit method based on full step discretization of order four for the solution of quasilinear elliptic partial differential equation of the form A(x,y,z)zxx+C(x,y,z)zyy=k(x,y,z,zx,zy) $A ( x,y,z ) z_{xx} +C (
R. K. Mohanty +2 more
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The Calderón problem for quasilinear elliptic equations
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020 In this paper we show uniqueness of the conductivity for the quasilinear Calderón's inverse problem. The nonlinear conductivity depends, in a nonlinear fashion, of the potential itself and its gradient. Under some structural assumptions on the direct problem, a real-valued conductivity allowing a small analytic continuation to the complex plane induce ...
Gunther Uhlmann, Claudio Muñoz
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Multiple perturbations of a singular eigenvalue problem
, 2015 We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija +2 more
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Quasilinear problems involving a perturbation with quadratic growth in the gradient and a noncoercive zeroth order term [PDF]
, 2015 In this paper we consider the problem u in H^1_0 (Omega), - div (A(x) Du) = H(x, u, Du) + f(x) + a_0 (x) u in D'(Omega), where Omega is an open bounded set of R^N, N \geq 3, A(x) is a coercive matrix with coefficients in L^\infty(Omega), H(x, s, xi) is a
Hamour, Boussad, Murat, François
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Asymptotic behavior of multiple solutions for quasilinear Schrödinger equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper establishes the multiplicity of solutions for a class of quasilinear Schrödinger elliptic equations: \begin{equation*} -\Delta u+V(x)u-\frac{\gamma}{2}\Delta(u^{2})u=f(x,u),\qquad x\in \mathbb{R}^{3}, \end{equation*} where $V(x):\mathbb{R}^3 ...
Xian Zhang, Chen Huang
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, 2010 We establish global regularity for weak solutions to quasilinear divergence form elliptic and parabolic equations over Lipschitz domains with controlled growth conditions on low order terms.
Arkhipova A.A. +26 more
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Liouville properties for differential inequalities with (p,q)$(p,q)$ Laplacian operator
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we establish several Liouville‐type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associated with nonnegative solutions to Ps$P_s$ −Δpu−Δqu⩾us−1inΩ,$$\begin{equation} -\Delta _p u-\Delta _q u\geqslant u^{s-1} \, \text{ in }\, \Omega, \end{equation}$$where ...
Mousomi Bhakta +2 more
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