Results 61 to 70 of about 820,005 (168)
The Existence and Uniqueness Result for a Relativistic Nonlinear Schrödinger Equation
Abstract and Applied Analysis, 2014 We study the existence and uniqueness of positive solutions for a class of quasilinear elliptic equations. This model has been proposed in the self-channeling of a high-power ultrashort laser in matter.
Yongkuan Cheng, Jun Yang
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Some existence results on Cantor sets
Journal of the Egyptian Mathematical Society, 2017 The existence of two different Cantor sets, one of them contained in the set of Liouville numbers and the other one inside the set of Diophantine numbers, is proved. Finally, a necessary and sufficient condition for the existence of a Cantor set contained in a subset of the real line is given.
Álvarez-Samaniego, Borys +2 more
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Anisotropic equations: Uniqueness and existence results
Differential and Integral Equations, 2008 We study uniqueness of weak solutions for elliptic equations of the following type \[ -\partial_{x_{i}}\left( a_{i}(x,u)\left\vert \partial_{x_{i}}u\right\vert ^{p_{i}-2}\partial_{x_{i}}u\right) +b(x,u) =f(x), \] in a bounded domain $\Omega\subset{\mathbb{R}}^{n}$ with Lipschitz continuous boundary $\Gamma=\partial\Omega$.
Antontsev, Stanislav, Chipot, Michel
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Positive solutions for a nonlinear parameter-depending algebraic system
Electronic Journal of Differential Equations, 2015 Through variational methods, the existence of positive solutions for a nonlinear parameter-depending algebraic system is investigated. The main tools used are some very recent critical points theorems on finite dimensional Banach spaces and a new ...
Gabriele Bonanno +2 more
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An existence result for elliptic problems with singular critical growth
Electronic Journal of Differential Equations, 2007 We prove the existence of nontrivial solutions for the singular critical problem $$ -Delta u-mu frac{u}{|x|^{2}}=lambda f(x)u+u^{2^{ast }-1} $$ with Dirichlet boundary conditions.
Yasmina Nasri
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Existence result of continuous positive solutions for a reaction–diffusion system
Partial Differential Equations in Applied MathematicsThis paper mainly seeks to contribute to the study of a quasilinear parabolic reaction–diffusion system of arbitrary order with initial conditions. Using potential analysis techniques, we establish the existence of continuous positive solutions.
Mounir Redjouh +2 more
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Existence of solutions for a degenerate seawater intrusion problem
Electronic Journal of Differential Equations, 2005 We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation.
Mohamed El Alaoui Talibi +1 more
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An existence result for a quantum BGK model
Mathematical and Computer Modelling, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence result for a semilinear parametric problem with Grushin type operator
Electronic Journal of Differential Equations, 2005 Using a varational method, we prove an existence result depending on a parameter, for a semilinear system in potential form with Grushin type operator.
Nguyen Minh Chuong, Tran Dinh Ke
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An existence result for a nonlinear problem in a limit case
Le Matematiche, 1998 See directly the article.
Francesco Chiacchio
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