Results 51 to 60 of about 1,041 (107)

Spatial boundary problem with the Dirichlet-Neumann condition for a singular elliptic equation

, 2012
The present work devoted to the finding explicit solution of a boundary problem with the Dirichlet-Neumann condition for elliptic equation with singular coefficients in a quarter of ball. For this aim the method of Green's function have been used. Since,
Agostinelli, Appell, Barantsev, Barros-Neto, Bicadze, Bitsadze, E.T. Karimov, Erdelyi, Frankl, Hasanov, Hasanov, Karimov, M.S. Salakhitdinov, Nahus̆ev, Nazipov, Nieto, Olevskiĭ, Protter, Rassias, Salakhitdinov, Semerdjieva, Serbina, Smirnov, Tricomi, Urinov, Wen, Wen   +26 more
core   +1 more source

On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent [PDF]

, 2006
We consider the nonlinear eigenvalue problem $-{\rm div}(|\nabla u|^{p(x)-2}\nabla u)=\lambda |u|^{q(x)-2}u$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded open set in $\RR^N$ with smooth boundary and $p$, $q$ are continuous ...
Mihailescu, Mihai, Radulescu, Vicentiu
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A semilinear problem with a W^{1,1}_0 solution

, 2012
We study a degenerate elliptic equation, proving the existence of a W^{1,1}_0 distributional ...
Boccardo, Lucio, Croce, Gisella, Orsina, Luigi   +2 more
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Nontrivial solutions for resonance quasilinear elliptic systems

Advances in Nonlinear Analysis
We establish an Amann-Zehnder-type result for resonance systems of quasilinear elliptic equations with homogeneous Dirichlet boundary conditions, involving nonlinearities growing asymptotically (p,q)\left(p,q)-linear at infinity.
Borgia Natalino, Cingolani Silvia, Vannella Giuseppina   +2 more
doaj   +1 more source

Solutions of nonlinear problems involving p(x)-Laplacian operator

Advances in Nonlinear Analysis, 2015
In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian.
Yücedağ Zehra
doaj   +1 more source

A Critical Point Theorem for Perturbed Functionals and Low Perturbations of Differential and Nonlocal Systems

Advanced Nonlinear Studies, 2020
In this paper we establish a new critical point theorem for a class of perturbed differentiable functionals without satisfying the Palais–Smale condition.
Bahrouni Anouar, Rădulescu Vicenţiu D., Winkert Patrick   +2 more
doaj   +1 more source

Normalized solutions for Sobolev critical fractional Schrödinger equation

Advances in Nonlinear Analysis
In the present study, we investigate the existence of the normalized solutions to Sobolev critical fractional Schrödinger equation: (−Δ)su+λu=f(u)+∣u∣2s*−2u,inRN,(Pm)∫RN∣u∣2dx=m2,\hspace{14em}\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+\lambda u=f ...
Li Quanqing, Nie Jianjun, Wang Wenbo, Zhou Jianwen   +3 more
doaj   +1 more source

The regular part of second-order differential sectorial forms with lower-order terms

, 2013
We present a formula for the regular part of a sectorial form that represents a general linear second-order differential expression that may include lower-order terms. The formula is given in terms of the original coefficients.
Sauter, Manfred, ter Elst, A. F. M.
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Positive solutions for parametric (p(z),q(z))-equations

Open Mathematics, 2020
We consider a parametric elliptic equation driven by the anisotropic (p,q)(p,q)-Laplacian. The reaction is superlinear. We prove a “bifurcation-type” theorem describing the change in the set of positive solutions as the parameter λ\lambda moves in ℝ+=(0,
Gasiński Leszek, Krech Ireneusz, Papageorgiou Nikolaos S.   +2 more
doaj   +1 more source

Existence Results For A Class Of Nonlinear Degenerate Elliptic Equations

Moroccan Journal of Pure and Applied Analysis, 2019
In this paper we are interested in the existence of solutions for Dirichlet problem associated with the degenerate nonlinear elliptic ...
Cavalheiro Albo Carlos
doaj   +1 more source