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[كتاب][B] Blow-up theory for elliptic PDEs in Riemannian geometry
Elliptic equations of critical Sobolev growth have been the target of investigation for decades
because they have proved to be of great importance in analysis, geometry, and physics. The …
because they have proved to be of great importance in analysis, geometry, and physics. The …
Sobolev inequalities for the Hardy–Schrödinger operator: extremals and critical dimensions
In this survey paper, we consider variational problems involving the Hardy–Schrödinger
operator L_ γ:=-Δ-γ| x|^ 2 L γ:=-Δ-γ| x| 2 on a smooth domain Ω Ω of R^ n R n with 0 ∈ Ω 0∈ …
operator L_ γ:=-Δ-γ| x|^ 2 L γ:=-Δ-γ| x| 2 on a smooth domain Ω Ω of R^ n R n with 0 ∈ Ω 0∈ …
[كتاب][B] Functional Inequalities: New Perspectives and New Applications: New Perspectives and New Applications
N Ghoussoub, A Moradifam - 2013 - books.google.com
" The book describes how functional inequalities are often manifestations of natural
mathematical structures and physical phenomena, and how a few general principles …
mathematical structures and physical phenomena, and how a few general principles …
Normalized solutions to p-Laplacian equations with combined nonlinearities
In this paper, we study the p-Laplacian equation with a L p-norm constraint: $\begin {cases}-
{{\Delta}} _ {p} u=\lambda\vert u {\vert}^{p-2} u+\mu\vert u {\vert}^{q-2} u+ g (u)\quad\text …
{{\Delta}} _ {p} u=\lambda\vert u {\vert}^{p-2} u+\mu\vert u {\vert}^{q-2} u+ g (u)\quad\text …
Solutions for semilinear elliptic equations with critical exponents and Hardy potential
D Cao, P Han - Journal of Differential Equations, 2004 - Elsevier
In this paper, we answer affirmatively an open problem (cf. Theorem 4′ in Ferrero and
Gazzola (J. Differential Equations 177 (2001) 494): Let Ω∋ 0 be an open-bounded domain …
Gazzola (J. Differential Equations 177 (2001) 494): Let Ω∋ 0 be an open-bounded domain …
[HTML][HTML] A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms
D Cao, S Peng - Journal of Differential Equations, 2003 - Elsevier
A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy
terms - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …
terms - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …
[PDF][PDF] Solutions for p (x)-Laplacian Dirichlet problems with singular coefficients
X Fan - Journal of Mathematical Analysis and applications, 2005 - core.ac.uk
Solutions for p(x)-Laplacian Dirichlet problems with singular coefficients Page 1 J. Math. Anal.
Appl. 312 (2005) 464–477 www.elsevier.com/locate/jmaa Solutions for p(x)-Laplacian Dirichlet …
Appl. 312 (2005) 464–477 www.elsevier.com/locate/jmaa Solutions for p(x)-Laplacian Dirichlet …
The Allen–Cahn equation on closed manifolds
We study global variational properties of the space of solutions to-ε^ 2 Δ u+ W'(u)= 0-ε 2 Δ u+
W′(u)= 0 on any closed Riemannian manifold M. Our techniques are inspired by recent …
W′(u)= 0 on any closed Riemannian manifold M. Our techniques are inspired by recent …
Hardy–Sobolev critical elliptic equations with boundary singularities
Unlike the non-singular case s= 0, or the case when 0 belongs to the interior of a domain Ω
in R n (n⩾ 3), we show that the value and the attainability of the best Hardy–Sobolev …
in R n (n⩾ 3), we show that the value and the attainability of the best Hardy–Sobolev …
The effect of curvature on the best constant in the Hardy–Sobolev inequalities
We address the question of attainability of the best constant in the following Hardy–Sobolev
inequality on a smooth domain Ω of R^ n:\mu_s (Ω):= inf\left {\int_ Ω| ∇ u|^ 2 dx; u ∈ H_ 1 …
inequality on a smooth domain Ω of R^ n:\mu_s (Ω):= inf\left {\int_ Ω| ∇ u|^ 2 dx; u ∈ H_ 1 …