AbstractWe investigate the analyticity of solutions to semilinear elliptic equations degenerated on a submanifold. We introduce a new weighted Sobolev space which is appropriate for studying such equations. The technique for linear equations using cut-off functions cannot be applied and we need to use a representation formula which requires a fundamental solution
Abstract. In this paper we obtain multiple solutions in double weighted Sobolev spaces for an ellipt...
We study boundary value problems for degenerate elliptic equations and systems with square integrabl...
Abstract: We consider a mixed problem for a degenerate differentialop-erator equation of higher orde...
© 2020, Springer Nature Switzerland AG. By a classical result, solutions of analytic elliptic PDEs, ...
AbstractIn this paper, we introduce weighted p-Sobolev spaces on manifolds with edge singularities. ...
summary:The main result establishes that a weak solution of degenerate semilinear elliptic equations...
Abstract. We prove an existence result for the Dirichlet problem associated to some degenerate quasi...
This work was partially supported by KBN grant no 2-PO3A-034-08Consiglio Nazionale delle Ricerche (C...
Tyt. z nagłówka.Bibliogr. s. 27.In this paper we are interested in the existence of solutions for th...
We investigate the Gevrey regularity (in particular, the analyticity) of solutions of semilinear ell...
This paper is devoted to differential-difference equations with degeneration in a bounded domain Q ⊂...
In this article, we prove the existence of a weak solution for the degenerate semilinear elliptic D...
We consider second-order differential-difference equations in bounded domains in the case where seve...
AbstractWe prove the existence result for nonlinear degenerated elliptic boundary value problems of ...
Of concern are singular ordinary differential operators defined on an interval for which the coeffic...
Abstract. In this paper we obtain multiple solutions in double weighted Sobolev spaces for an ellipt...
We study boundary value problems for degenerate elliptic equations and systems with square integrabl...
Abstract: We consider a mixed problem for a degenerate differentialop-erator equation of higher orde...
© 2020, Springer Nature Switzerland AG. By a classical result, solutions of analytic elliptic PDEs, ...
AbstractIn this paper, we introduce weighted p-Sobolev spaces on manifolds with edge singularities. ...
summary:The main result establishes that a weak solution of degenerate semilinear elliptic equations...
Abstract. We prove an existence result for the Dirichlet problem associated to some degenerate quasi...
This work was partially supported by KBN grant no 2-PO3A-034-08Consiglio Nazionale delle Ricerche (C...
Tyt. z nagłówka.Bibliogr. s. 27.In this paper we are interested in the existence of solutions for th...
We investigate the Gevrey regularity (in particular, the analyticity) of solutions of semilinear ell...
This paper is devoted to differential-difference equations with degeneration in a bounded domain Q ⊂...
In this article, we prove the existence of a weak solution for the degenerate semilinear elliptic D...
We consider second-order differential-difference equations in bounded domains in the case where seve...
AbstractWe prove the existence result for nonlinear degenerated elliptic boundary value problems of ...
Of concern are singular ordinary differential operators defined on an interval for which the coeffic...
Abstract. In this paper we obtain multiple solutions in double weighted Sobolev spaces for an ellipt...
We study boundary value problems for degenerate elliptic equations and systems with square integrabl...
Abstract: We consider a mixed problem for a degenerate differentialop-erator equation of higher orde...
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