Bifurcation results for quasi-linear operators from the Fučik spectrum of the Laplacian
, 2023 Abstract In this paper, we analyze an eigenvalue problem for a quasi-linear elliptic operators involving Dirichlet boundary condition in an open smooth bounded set of RN. We investigate a bifurcation results (from trivial solution and from infinity) of an eigenvalue problem involving the (p,2)-Laplace operator, from the Fučik spectrum of the ...
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Fucik Spectrum and elliptic equations with jumping nonlinearities
, 2010 Estudamos o Espectro de Fucík para o operador Laplaciano, isto é, o conjunto \'SIGMA\' das duplas (\'mü\', \'nü\') \'ESTA CONTIDO EM\' \'R POT. 2\', tais que o problema { - \'DELTA\' u(x) = \'\'\'mü \'nü\' POT.
Rafael Antonio Rossato +1 more
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Solution to a semilinear problem on type II regions determined by the Fucik spectrum
Electronic Journal of Differential Equations, 2003 We prove the existence of solutions to the semi-linear problem $$displaylines{ u''(x)+alpha u^+(x)+ta u^-(x)=f(x),,quad xin (0,pi),,cr u(0)=u(pi)=0 } $$ where the point $(alpha,eta)$ falls in regions of type (II) between curves of the Fucik spectrum.
Petr Tomiczek
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Antimaximum principle for elliptic problems with weight
Electronic Journal of Differential Equations, 1999 This paper is concerned with the antimaximum principle for the linear problem with weight $-Delta u = lambda m(x) u +h(x)$, under Dirichlet or Neumann boundary conditions.
T. Godoy, J.-P. Gossez, S. Paczka
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High-Pressure Depolymerization of Poly(lactic acid) (PLA) and Poly(3-hydroxybutyrate) (PHB) Using Bio-Based Solvents: A Way to Produce Alkyl Esters Which Can Be Modified to Polymerizable Monomers. [PDF]
Polymers (Basel), 2022 Jašek V +8 more
europepmc +1 more source
Synthesis of Bio-Based Thermoset Mixture Composed of Methacrylated Rapeseed Oil and Methacrylated Methyl Lactate: One-Pot Synthesis Using Formed Methacrylic Acid as a Continual Reactant. [PDF]
Polymers (Basel), 2023 Jašek V +6 more
europepmc +1 more source
Superlinear equations and a uniform anti-maximum principle for the multi-Laplacian operator
Electronic Journal of Differential Equations, 2004 In the first part of this paper, we study a nonlinear equation with the multi-Laplacian operator, where the nonlinearity intersects all but the first eigenvalue.
Eugenio Massa
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On the eigenvalue problem for the Hardy-Sobolev operator with indefinite weights
Electronic Journal of Differential Equations, 2002 In this paper we study the eigenvalue problem $$ -Delta_{p}u-a(x)|u|^{p-2}u=lambda |u|^{p-2}u, quad uin W^{1,p}_{0}(Omega), $$ where ...
Konijeti Sreenadh
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Group A streptococcal disease in paediatric inpatients: a European perspective. [PDF]
Eur J Pediatr, 2023 Boeddha NP +15 more
europepmc +1 more source
Periodic boundary-value problems and the Dancer-Fucik spectrum under conditions of resonance
Electronic Journal of Differential Equations, 2011 We prove the existence of solutions to the nonlinear $2 pi$-periodic problem $$displaylines{ u''(x)+mu u^+(x)-u u^-(x)+g(x,u(x))=f(x),,quad xin (0,2pi),,cr u(0)-u(2pi) =0 ,, quad u'(0) - u'(2pi)=0, }$$ where the point $(mu,u)$ lies in the Dancer ...
David A. Bliss +2 more
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