Št. zadetkov: 185
Izvirni znanstveni članek
Oznake:
anisotropic elliptic problem;nonhomogeneous differential operator;variable exponent;symmetric mountain pass theorem;
We are concerned with the existence of infinitely many radial symmetric solutions for a nonlinear stationary problem driven by a new class of nonhomogeneous differential operators. The proof relies on the symmetric version of the mountain pass theorem.
Leto:
2019
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
Ambrosetti-Prodi problem;degenerate potential;topological degree;anisotropic continuous media;
We study the degenerate elliptic equation ▫$$ -\operatorname{div}(|x|^\alpha \nabla u) = f(u) + t\phi(x) + h(x)$$▫ in a bounded open set ▫$\Omega$▫ with homogeneous Neumann boundary condition, where ▫$\alpha \in (0,2)$▫ and ▫$f$▫ has a linear growth. The main result establishes the existence of real ...
Leto:
2018
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
Lebesgue-Sobolev spaces with variable exponent;fountain theorem;mountain pass geometry;Leray-Lions operators;hemivariational inequality;resonance;
We are concerned with a class of nonlinear Schrödinger-type equations with a reaction term and a differential operator that involves a variable exponent. By using related variational methods, we establish several existence results.
Leto:
2015
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
matematika;H-zaprt topološki delno urejen prostor;veriga;maksimalna veriga;topološka polmreža;regularno urejeni delno urejeni prostori;MCC-veriga;maksimalna veriga topološkega delno urejenega prostora;razpršen prostor;mathematics;H-closed topological partially ordered space;chain;maximal chain;topological semilattice;regularly ordered pospace;MCC-chain;scattered space;
Preučujemo verige v ▫$H$▫-zaprtem topološkem delno urejenem prostoru. Podamo zadostne pogoje za maksimalno verigo ▫$L$▫ v ▫$H$▫-zaprtem topološkem delno urejenem prstoru (▫$H$▫-zaprti topološki polmreži), pri katerih ▫$L$▫ vsebuje maksimalen (minimalen) element. Podamo tudi zadostne pogoje, pri kate ...
Leto:
2010
Vir:
Fakulteta za naravoslovje in matematiko (UM FNM)
Objavljeni znanstveni prispevek na konferenci
Oznake:
matematika;topologija;Poincaréjev kompleks;Poincaréjeva dualnost;▫$\varepsilon-\delta$▫-kirurgija;kontrolirana kirurgija;izrek o disku;dobra fundamentalna grupa;Wallova ovira za kirurgijo;Atiyah-Hirzebruchovo spektralno zaporedje;Quinnov indeks;celičasta resolucija;
Kontrolirano kirurško zaporedje Ranickega, Pedersena in Quinna uporabimo za rešitev problemov kirurgije v dimenziji 4, za primere, ko se ne ve, če je fundamentalna grupa "dobra". Naši primeri v tem članku se nanašajo na proste neabelove fundamentalne grupe, fundamentalne grupe ploskev in specialne g ...
Leto:
2005
Vir:
Repozitorij Univerze v Ljubljani (RUL)
Izvirni znanstveni članek
Oznake:
nonlinear eigenvalue problem;unbalanced growth;standing wave solution;
We consider two classes of nonlinear eigenvalue problems with double-phase energy and lack of compactness. We establish existence and non-existence results and related properties of solutions. Our analysis combines variational methods with the generalized Pucci-Serrin maximum principle.
Leto:
2019
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
generalized manifold;resolution obstruction;controlled surgery;controlled structure set;▫$\mathbb{L}_q$▫-surgery;Wall obstruction;
This paper presents an alternative approach to controlled surgery obstructions. The obstruction for a degree one normal map ▫$(f,b) \colon M^n \to X^n$▫ with control map ▫$q \colon X^n \to B$▫ to complete controlled surgery is an element ▫$\sigma^c (f,b) \in H_n(B, \mathbb{L})$▫, where ▫$M^n, \, X^n ...
Leto:
2019
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
partial differential equations;p(x)-Curl systems;nonexistence of solutions;critical point theory;electromagnetism;
In this paper, we study the existence and the nonexistence of solutions for a new class of ▫$p(x)$▫-curl systems arising in electromagnetism. This work generalizes some results obtained in the ▫$p$▫- curl case. There seems to be no results on the nonexistence of solutions for curl systems with varia ...
Leto:
2018
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Objavljeni znanstveni prispevek na konferenci
Oznake:
global diffeomorphism;local diffeomorphism;algebraic equation;integro-differential system;
We provide sufficient conditions for a mapping between two Banach spaces to be a diffeomorphism using the approach of an auxiliary functional and also by the aid of a duality mapping corresponding to a normalization function. We simplify and generalize our previous results. Applications to algebraic ...
Leto:
2018
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
generalized manifold;Poincaré duality complex;ENR;2-patch space;resolution obstruction;controlled surgery;controlled structure set;Lq-surgery;Wall obstruction;cell-like map;Gromov-Hausdorff metric;
The primary purpose of this paper concerns the relation of (compact) generalized manifolds to finite Poincaré duality complexes (PD complexes). The problem is that an arbitrary generalized manifold ▫$X$▫ is always an ENR space, but it is not necessarily a complex. Moreover, finite PD complexes requi ...
Leto:
2018
Vir:
Fakulteta za matematiko in fiziko (UL FMF)