Results 51 to 60 of about 1,022 (104)

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
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Crack Theory with Singularities at the Boundary [PDF]

, 2003
2002 Mathematics Subject Classification: 35S15, 35J70, 35J40, 38J40We investigate crack problems, where the crack boundary has conical singularities. Elliptic operators with two-sided elliptic boundary conditions on the plus and minus sides of the crack ...
Schulze, B. W.
core  

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
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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
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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
core   +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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Besov regularity for the elliptic p-harmonic equations in the non-quadratic case

Advances in Nonlinear Analysis
In this article, we mainly establish the local extra fractional differentiability (Besov regularity) of weak solutions for the following divergence nonlinear elliptic equations of pp-Laplacian type: divA(Du,x)=divF,\hspace{0.1em}\text{div}\hspace{0.1em}A(
Yao Fengping
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Yamabe-type equations on Carnot groups

, 2016
This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity.
Bisci, Giovanni Molica, Repovš, Dušan D.   +1 more
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Existence for (p, q) critical systems in the Heisenberg group

Advances in Nonlinear Analysis, 2019
This paper deals with the existence of entire nontrivial solutions for critical quasilinear systems (𝓢) in the Heisenberg group ℍn, driven by general (p, q) elliptic operators of Marcellini types.
Pucci Patrizia, Temperini Letizia
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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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