15 research outputs found
Existence of blow-up solutions for a non-linear equation with gradient term in RN
Get PDFAbstractIn this paper we study the existence of positive large solutions for the equation Îpu+λ|âu|pâ1=Ï(x)f(u) in RN, where f is a non-negative non-decreasing function and Ï is a non-negative continuous function. We show under some hypotheses detailed below the existence of positive solutions which blow up at infinity
Existence of blow-up solutions for a non-linear equation with gradient term in RN
Get PDFAbstractIn this paper we study the existence of positive large solutions for the equation Îpu+λ|âu|pâ1=Ï(x)f(u) in RN, where f is a non-negative non-decreasing function and Ï is a non-negative continuous function. We show under some hypotheses detailed below the existence of positive solutions which blow up at infinity
Existence of weak solutions for a quasilinear equation in RN
Get PDFAbstractThis paper studies the p-Laplacian equation âÎpu+λVλ(x)|u|pâ2u=f(x,u)inRN, where 1<p<N,λâ„1 and Vλ(x) is a nonnegative continuous function. Under some conditions on f(x,u) and Vλ(x), we prove the existence of nontrivial solutions for λ sufficiently large
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No full textExistence and nonexistence of entire positive solutions for ( p , q ) -Laplacian elliptic system with a gradient term
No full textExistence of weak solutions for a quasilinear equation in <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>
No full textA class of singular first order differential equations with applications in reaction-diffusion
No full textMultiplicity of positive solutions for a class of p-Kirchhoff equation with critical exponent
No full textNontrivial Weak Solution for a SchrïżœdingerïżœKirchhoff-Type System Driven by a (p<inf>1</inf>, p<inf>2</inf>) -Laplacian Operator
No full text© 2018, Iranian Mathematical Society. In this paper, we investigate the existence of nontrivial weak solution for a SchrödingerâKirchhoff-type system driven by a (p 1 , p 2 ) -Laplacian operator under appropriate hypotheses. The proofs are based on the variational methods
