Results 111 to 120 of about 52,371 (280)

Strongly indefinite systems with critical sobolev exponents and weights

Applied Mathematics Letters, 2004
AbstractIn this paper, an elliptic system of Hamiltonian type with critical Sobolev exponents and weights is studied by the dual variational method. By investigating the effect of the coefficients of the critical nonlinearities, we establish the existence of nontrivial solutions.
openaire   +2 more sources

On nonlocal Choquard equations with Hardy–Littlewood–Sobolev critical exponents

Journal of Mathematical Analysis and Applications, 2017
30
Fashun Gao, Minbo Yang
openaire   +3 more sources

Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. [PDF]

Philos Trans A Math Phys Eng Sci, 2023
Bachmann L, De Anna F, Schlömerkemper A, Şengül Y.   +3 more
europepmc   +1 more source

A spinorial analogue of the Brezis-Nirenberg theorem involving the critical Sobolev exponent

, 2019
Let $(M,\textit{g},\sigma)$ be a compact Riemannian spin manifold of dimension $m\geq2$, let $\mathbb{S}(M)$ denote the spinor bundle on $M$, and let $D$ be the Atiyah-Singer Dirac operator acting on spinors $\psi:M\to\mathbb{S}(M)$.
Bartsch, Thomas, Xu, Tian
core  

Solutions for a quasilinear elliptic equation with critical Sobolev exponent and perturbations on ${\bf R}^N$ [PDF]

, 2000
Huan-Song Zhou
openalex   +1 more source

WEAK LINKING THEOREMS AND SCHR¨ ODINGER EQUATIONS WITH CRITICAL SOBOLEV EXPONENT

, 2003
In this paper we establish a variant and generalized weak linking theorem, which contains more delicate result and insures the existence of bounded Palais{Smale sequences of a strongly indenite functional.
M. Schechter, W. Zou
semanticscholar   +1 more source

Multiplicity of solutions to the sum of polyharmonic equations with critical Sobolev exponents

Electronic Journal of Differential Equations, 2015
In this article, we prove multiplicity of solutions for the sum of polyharmonic equation with critical Sobolev exponent. The proof is based upon the methods of weakly lower semi-continuous of the functionals and the Mountain Pass Lemma without (PS ...
Wei Liu, Gao Jia, Lu-Quian Guo
doaj  

The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents

Abstract and Applied Analysis, 2019
Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev ...
M. Khiddi
doaj   +1 more source

Existence and regularity for critical anisotropic equations with critical directions [PDF]

International audienceWe establish existence and regularity results for doubly critical anisotropic equations in domains of the Euclidean space. In particular, we answer a question posed by Fragala-Gazzola-Kawohl [24] when the maximum of the anisotropic ...
Vétois, Jérôme
core   +1 more source

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
doaj